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13354229160 = 23335107115561
BaseRepresentation
bin11000110111111100…
…10101110110101000
31021110200100010112000
430123332111312220
5204322140313120
610045043251000
7651634034466
oct143376256650
937420303460
1013354229160
115733129028
122708379a60
13134a8a8b5c
14909817836
155325c3990
hex31bf95da8

13354229160 has 128 divisors (see below), whose sum is σ = 44930505600. Its totient is φ = 3527815680.

The previous prime is 13354229131. The next prime is 13354229201. The reversal of 13354229160 is 6192245331.

13354229160 is a `hidden beast` number, since 1 + 33 + 542 + 29 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57780 + ... + 173340.

It is an arithmetic number, because the mean of its divisors is an integer number (351019575).

Almost surely, 213354229160 is an apocalyptic number.

13354229160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 115560×115561.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13354229160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22465252800).

13354229160 is an abundant number, since it is smaller than the sum of its proper divisors (31576276440).

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

13354229160 is a wasteful number, since it uses less digits than its factorization.

13354229160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115688 (or 115678 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 13354229160 in words is "thirteen billion, three hundred fifty-four million, two hundred twenty-nine thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 107 108 120 135 180 214 216 270 321 360 428 535 540 642 856 963 1070 1080 1284 1605 1926 2140 2568 2889 3210 3852 4280 4815 5778 6420 7704 9630 11556 12840 14445 19260 23112 28890 38520 57780 115560 115561 231122 346683 462244 577805 693366 924488 1040049 1155610 1386732 1733415 2080098 2311220 2773464 3120147 3466830 4160196 4622440 5200245 6240294 6933660 8320392 10400490 12365027 12480588 13867320 15600735 20800980 24730054 24961176 31201470 37095081 41601960 49460108 61825135 62402940 74190162 98920216 111285243 123650270 124805880 148380324 185475405 222570486 247300540 296760648 333855729 370950810 445140972 494601080 556426215 667711458 741901620 890281944 1112852430 1335422916 1483803240 1669278645 2225704860 2670845832 3338557290 4451409720 6677114580 13354229160