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115072890528 = 25310927893943
BaseRepresentation
bin110101100101011100…
…0001111011010100000
3102000000121221111221110
41223022320033122200
53341132124444103
6124510323223320
711212420300521
oct1531270173240
9360017844843
10115072890528
1144890712922
121a375817b40
13ab0b499b8b
1457d8c1a848
152ed764b403
hex1acae0f6a0

115072890528 has 96 divisors (see below), whose sum is σ = 305024227200. Its totient is φ = 37982462976.

The previous prime is 115072890467. The next prime is 115072890533. The reversal of 115072890528 is 825098270511.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29182125 + ... + 29186067.

It is an arithmetic number, because the mean of its divisors is an integer number (3177335700).

Almost surely, 2115072890528 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 115072890528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152512113600).

115072890528 is an abundant number, since it is smaller than the sum of its proper divisors (189951336672).

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

115072890528 is a wasteful number, since it uses less digits than its factorization.

115072890528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6854 (or 6846 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 48.

The spelling of 115072890528 in words is "one hundred fifteen billion, seventy-two million, eight hundred ninety thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 109 218 327 436 654 872 1308 1744 2616 2789 3488 3943 5232 5578 7886 8367 10464 11156 11829 15772 16734 22312 23658 31544 33468 44624 47316 63088 66936 89248 94632 126176 133872 189264 267744 304001 378528 429787 608002 859574 912003 1216004 1289361 1719148 1824006 2432008 2578722 3438296 3648012 4864016 5157444 6876592 7296024 9728032 10314888 10997027 13753184 14592048 20629776 21994054 29184096 32991081 41259552 43988108 65982162 87976216 131964324 175952432 263928648 351904864 527857296 1055714592 1198675943 2397351886 3596027829 4794703772 7192055658 9589407544 14384111316 19178815088 28768222632 38357630176 57536445264 115072890528