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157037805216 = 253527174521
BaseRepresentation
bin1001001001000000101…
…1101011111010100000
3120000100020100001200000
42102100023223322200
510033103134231331
6200050413100000
714226354214545
oct2222013537240
9500306301600
10157037805216
11606658243a6
1226527787600
1311a68660c46
14785a34cbcc
1541418b50e6
hex24902ebea0

157037805216 has 144 divisors (see below), whose sum is σ = 464831273088. Its totient is φ = 52152076800.

The previous prime is 157037805187. The next prime is 157037805229. The reversal of 157037805216 is 612508730751.

It is a happy number.

157037805216 is a `hidden beast` number, since 1 + 57 + 0 + 3 + 78 + 0 + 521 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2070036 + ... + 2144556.

It is an arithmetic number, because the mean of its divisors is an integer number (3227994952).

Almost surely, 2157037805216 is an apocalyptic number.

157037805216 is a gapful number since it is divisible by the number (16) 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 157037805216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232415636544).

157037805216 is an abundant number, since it is smaller than the sum of its proper divisors (307793467872).

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

157037805216 is an equidigital number, since it uses as much as digits as its factorization.

157037805216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74817 (or 74797 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 157037805216 in words is "one hundred fifty-seven billion, thirty-seven million, eight hundred five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 271 288 324 432 486 542 648 813 864 972 1084 1296 1626 1944 2168 2439 2592 3252 3888 4336 4878 6504 7317 7776 8672 9756 13008 14634 19512 21951 26016 29268 39024 43902 58536 65853 74521 78048 87804 117072 131706 149042 175608 223563 234144 263412 298084 351216 447126 526824 596168 670689 702432 894252 1053648 1192336 1341378 1788504 2012067 2107296 2384672 2682756 3577008 4024134 5365512 6036201 7154016 8048268 10731024 12072402 16096536 18108603 20195191 21462048 24144804 32193072 36217206 40390382 48289608 60585573 64386144 72434412 80780764 96579216 121171146 144868824 161561528 181756719 193158432 242342292 289737648 323123056 363513438 484684584 545270157 579475296 646246112 727026876 969369168 1090540314 1454053752 1635810471 1938738336 2181080628 2908107504 3271620942 4362161256 4907431413 5816215008 6543241884 8724322512 9814862826 13086483768 17448645024 19629725652 26172967536 39259451304 52345935072 78518902608 157037805216