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116557201620 = 223254715438929
BaseRepresentation
bin110110010001101011…
…0011100000011010100
3102010212001221022222100
41230203112130003110
53402202120422440
6125313505202100
711264252603226
oct1544326340324
9363761838870
10116557201620
1145482557802
121a70a930330
13acb6b58072
1458d9dd8416
153072ae7230
hex1b2359c0d4

116557201620 has 144 divisors (see below), whose sum is σ = 361353807360. Its totient is φ = 30397483008.

The previous prime is 116557201613. The next prime is 116557201627. The reversal of 116557201620 is 26102755611.

116557201620 is a `hidden beast` number, since 1 + 1 + 6 + 5 + 5 + 7 + 20 + 1 + 620 = 666.

It is an interprime number because it is at equal distance from previous prime (116557201613) and next prime (116557201627).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116557201627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13049316 + ... + 13058244.

It is an arithmetic number, because the mean of its divisors is an integer number (2509401440).

Almost surely, 2116557201620 is an apocalyptic number.

116557201620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116557201620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180676903680).

116557201620 is an abundant number, since it is smaller than the sum of its proper divisors (244796605740).

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

116557201620 is a wasteful number, since it uses less digits than its factorization.

116557201620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10534 (or 10529 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 116557201620 in words is "one hundred sixteen billion, five hundred fifty-seven million, two hundred one thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 141 180 188 235 282 423 470 564 705 846 940 1410 1543 1692 2115 2820 3086 4230 4629 6172 7715 8460 8929 9258 13887 15430 17858 18516 23145 26787 27774 30860 35716 44645 46290 53574 55548 69435 72521 80361 89290 92580 107148 133935 138870 145042 160722 178580 217563 267870 277740 290084 321444 362605 401805 419663 435126 535740 652689 725210 803610 839326 870252 1087815 1258989 1305378 1450420 1607220 1678652 2098315 2175630 2517978 2610756 3263445 3776967 4196630 4351260 5035956 6294945 6526890 7553934 8393260 12589890 13053780 13777447 15107868 18884835 25179780 27554894 37769670 41332341 55109788 68887235 75539340 82664682 123997023 137774470 165329364 206661705 247994046 275548940 413323410 495988092 619985115 647540009 826646820 1239970230 1295080018 1942620027 2479940460 2590160036 3237700045 3885240054 5827860081 6475400090 7770480108 9713100135 11655720162 12950800180 19426200270 23311440324 29139300405 38852400540 58278600810 116557201620