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13960558427256 = 233476317487213
BaseRepresentation
bin1100101100100111001000…
…1000000011110001111000
31211102121122022122110110000
43023021302020003301320
53312212210424133011
645405220401153000
72640421436460420
oct313116210036170
954377568573400
1013960558427256
1144a2704310281
12169579692b760
137a36237a291c
143639a2105480
1519322d471356
hexcb272203c78

13960558427256 has 160 divisors (see below), whose sum is σ = 44695726115040. Its totient is φ = 3988091365632.

The previous prime is 13960558427251. The next prime is 13960558427281. The reversal of 13960558427256 is 65272485506931.

13960558427256 is a `hidden beast` number, since 1 + 3 + 9 + 6 + 0 + 5 + 584 + 27 + 25 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 13960558427193 and 13960558427202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13960558427251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28410306 + ... + 28897518.

It is an arithmetic number, because the mean of its divisors is an integer number (279348288219).

It is a 1-persistent number, because it is pandigital, but 2⋅13960558427256 = 27921116854512 is not.

Almost surely, 213960558427256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13960558427256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22347863057520).

13960558427256 is an abundant number, since it is smaller than the sum of its proper divisors (30735167687784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13960558427256 is a wasteful number, since it uses less digits than its factorization.

13960558427256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493555 (or 493542 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 63.

The spelling of 13960558427256 in words is "thirteen trillion, nine hundred sixty billion, five hundred fifty-eight million, four hundred twenty-seven thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 648 756 1134 1512 2268 4536 6317 12634 18951 25268 37902 44219 50536 56853 75804 88438 113706 132657 151608 170559 176876 227412 265314 341118 353752 397971 454824 487213 511677 530628 682236 795942 974426 1023354 1061256 1193913 1364472 1461639 1591884 1948852 2046708 2387826 2923278 3183768 3410491 3581739 3897704 4093416 4384917 4775652 5846556 6820982 7163478 8769834 9551304 10231473 11693112 13154751 13641964 14326956 17539668 20462946 26309502 27283928 28653912 30694419 35079336 39464253 40925892 52619004 61388838 78928506 81851784 92083257 105238008 122777676 157857012 184166514 245555352 276249771 315714024 368333028 552499542 736666056 1104999084 2209998168 3077724521 6155449042 9233173563 12310898084 18466347126 21544071647 24621796168 27699520689 36932694252 43088143294 55399041378 64632214941 73865388504 83098562067 86176286588 110798082756 129264429882 166197124134 172352573176 193896644823 221596165512 249295686201 258528859764 332394248268 387793289646 498591372402 517057719528 581689934469 664788496536 775586579292 997182744804 1163379868938 1551173158584 1745069803407 1994365489608 2326759737876 3490139606814 4653519475752 6980279213628 13960558427256