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157211036064 = 25321931926777
BaseRepresentation
bin1001001001101010000…
…0100000100110100000
3120000210022022002201100
42102122200200212200
510033432011123224
6200115522034400
714233556521005
oct2223240404640
9500708262640
10157211036064
1160744593295
12265757a8a00
1311a955049c4
1478753638ac
154151bd2ac9
hex249a8209a0

157211036064 has 144 divisors (see below), whose sum is σ = 485779956480. Its totient is φ = 48044067840.

The previous prime is 157211036027. The next prime is 157211036069. The reversal of 157211036064 is 460630112751.

157211036064 is a `hidden beast` number, since 15 + 7 + 21 + 10 + 3 + 606 + 4 = 666.

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

It is a super-2 number, since 2×1572110360642 (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (157211036069) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 293757 + ... + 633020.

It is an arithmetic number, because the mean of its divisors is an integer number (3373471920).

Almost surely, 2157211036064 is an apocalyptic number.

It is an amenable number.

157211036064 is an abundant number, since it is smaller than the sum of its proper divisors (328568920416).

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

157211036064 is a wasteful number, since it uses less digits than its factorization.

157211036064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926843 (or 926832 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 157211036064 in words is "one hundred fifty-seven billion, two hundred eleven million, thirty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 31 32 36 38 48 57 62 72 76 93 96 114 124 144 152 171 186 228 248 279 288 304 342 372 456 496 558 589 608 684 744 912 992 1116 1178 1368 1488 1767 1824 2232 2356 2736 2976 3534 4464 4712 5301 5472 7068 8928 9424 10602 14136 18848 21204 28272 42408 56544 84816 169632 926777 1853554 2780331 3707108 5560662 7414216 8340993 11121324 14828432 16681986 17608763 22242648 28730087 29656864 33363972 35217526 44485296 52826289 57460174 66727944 70435052 86190261 88970592 105652578 114920348 133455888 140870104 158478867 172380522 211305156 229840696 258570783 266911776 281740208 316957734 344761044 422610312 459681392 517141566 545871653 563480416 633915468 689522088 845220624 919362784 1034283132 1091743306 1267830936 1379044176 1637614959 1690441248 2068566264 2183486612 2535661872 2758088352 3275229918 4137132528 4366973224 4912844877 5071323744 6550459836 8274265056 8733946448 9825689754 13100919672 17467892896 19651379508 26201839344 39302759016 52403678688 78605518032 157211036064