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59214938112 = 214331143283
BaseRepresentation
bin110111001001011111…
…000100000000000000
312122211210100112022000
4313021133010000000
51432233011004422
643111501344000
74164254445351
oct671137040000
9178753315260
1059214938112
112312731a490
12b586b68000
135778c07725
142c1a4d5d28
15181887bcac
hexdc97c4000

59214938112 has 480 divisors, whose sum is σ = 196539087360. Its totient is φ = 17464688640.

The previous prime is 59214938089. The next prime is 59214938137. The reversal of 59214938112 is 21183941295.

59214938112 is a `hidden beast` number, since 59 + 21 + 493 + 81 + 12 = 666.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 209239923 + ... + 209240205.

It is an arithmetic number, because the mean of its divisors is an integer number (409456432).

Almost surely, 259214938112 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 59214938112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98269543680).

59214938112 is an abundant number, since it is smaller than the sum of its proper divisors (137324149248).

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

59214938112 is a wasteful number, since it uses less digits than its factorization.

59214938112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 342 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The spelling of 59214938112 in words is "fifty-nine billion, two hundred fourteen million, nine hundred thirty-eight thousand, one hundred twelve".