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116125521312 = 25367106916889
BaseRepresentation
bin110110000100110011…
…1101101010110100000
3102002201222122200220210
41230021213231112200
53400311113140222
6125203004534120
711250461434113
oct1541147552640
9362658580823
10116125521312
1145280913a19
121a60a251340
13ac485a3a28
14589894857a
153049c76d0c
hex1b099ed5a0

116125521312 has 96 divisors (see below), whose sum is σ = 309686932800. Its totient is φ = 38092843008.

The previous prime is 116125521277. The next prime is 116125521313. The reversal of 116125521312 is 213125521611.

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

It is a self number, because there is not a number n which added to its sum of digits gives 116125521312.

It is not an unprimeable number, because it can be changed into a prime (116125521313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6867364 + ... + 6884252.

It is an arithmetic number, because the mean of its divisors is an integer number (3225905550).

Almost surely, 2116125521312 is an apocalyptic number.

116125521312 is a gapful number since it is divisible by the number (12) 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 116125521312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154843466400).

116125521312 is an abundant number, since it is smaller than the sum of its proper divisors (193561411488).

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

116125521312 is a wasteful number, since it uses less digits than its factorization.

116125521312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18038 (or 18030 counting only the distinct ones).

The product of its digits is 3600, while the sum is 30.

The spelling of 116125521312 in words is "one hundred sixteen billion, one hundred twenty-five million, five hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 134 201 268 402 536 804 1069 1072 1608 2138 2144 3207 3216 4276 6414 6432 8552 12828 16889 17104 25656 33778 34208 50667 51312 67556 71623 101334 102624 135112 143246 202668 214869 270224 286492 405336 429738 540448 572984 810672 859476 1131563 1145968 1621344 1718952 2263126 2291936 3394689 3437904 4526252 6789378 6875808 9052504 13578756 18054341 18105008 27157512 36108682 36210016 54163023 54315024 72217364 108326046 108630048 144434728 216652092 288869456 433304184 577738912 866608368 1209640847 1733216736 2419281694 3628922541 4838563388 7257845082 9677126776 14515690164 19354253552 29031380328 38708507104 58062760656 116125521312