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116560265616 = 243229109325537
BaseRepresentation
bin110110010001110001…
…0001000000110010000
3102010212021200222222200
41230203202020012100
53402203411444431
6125314055003200
711264320624164
oct1544342100620
9363767628880
10116560265616
114548425a833
121a70b969500
13acb768b892
1458da594ca4
153072eeeee6
hex1b23888190

116560265616 has 120 divisors (see below), whose sum is σ = 337777335480. Its totient is φ = 37477859328.

The previous prime is 116560265611. The next prime is 116560265659. The reversal of 116560265616 is 616562065611.

116560265616 is a `hidden beast` number, since 1 + 1 + 6 + 5 + 6 + 0 + 26 + 5 + 616 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 85612419216 + 30947846400 = 292596^2 + 175920^2 .

It is not an unprimeable number, because it can be changed into a prime (116560265611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4551600 + ... + 4577136.

It is an arithmetic number, because the mean of its divisors is an integer number (2814811129).

Almost surely, 2116560265616 is an apocalyptic number.

116560265616 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 116560265616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168888667740).

116560265616 is an abundant number, since it is smaller than the sum of its proper divisors (221217069864).

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

116560265616 is a wasteful number, since it uses less digits than its factorization.

116560265616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26673 (or 26664 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 116560265616 in words is "one hundred sixteen billion, five hundred sixty million, two hundred sixty-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1093 1392 2088 2186 3279 4176 4372 6558 8744 9837 13116 17488 19674 25537 26232 31697 39348 51074 52464 63394 76611 78696 95091 102148 126788 153222 157392 190182 204296 229833 253576 285273 306444 380364 408592 459666 507152 570546 612888 740573 760728 919332 1141092 1225776 1481146 1521456 1838664 2221719 2282184 2962292 3677328 4443438 4564368 5924584 6665157 8886876 11849168 13330314 17773752 26660628 27911941 35547504 53321256 55823882 83735823 106642512 111647764 167471646 223295528 251207469 334943292 446591056 502414938 669886584 809446289 1004829876 1339773168 1618892578 2009659752 2428338867 3237785156 4019319504 4856677734 6475570312 7285016601 9713355468 12951140624 14570033202 19426710936 29140066404 38853421872 58280132808 116560265616