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58974101088 = 2537376735401
BaseRepresentation
bin110110111011001000…
…010101111001100000
312122020000011202000020
4312323020111321200
51431234332213323
643031535353440
74155301405530
oct667310257140
9178200152006
1058974101088
1123013385021
12b51a382880
13573b052906
142bd65234c0
151802657ae3
hexdbb215e60

58974101088 has 192 divisors, whose sum is σ = 184421196288. Its totient is φ = 16149196800.

The previous prime is 58974101047. The next prime is 58974101093. The reversal of 58974101088 is 88010147985.

It is a happy number.

58974101088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 58974101088.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1648188 + ... + 1683588.

It is an arithmetic number, because the mean of its divisors is an integer number (960527064).

Almost surely, 258974101088 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 58974101088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92210598144).

58974101088 is an abundant number, since it is smaller than the sum of its proper divisors (125447095200).

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

58974101088 is a wasteful number, since it uses less digits than its factorization.

58974101088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35525 (or 35517 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 51.

The spelling of 58974101088 in words is "fifty-eight billion, nine hundred seventy-four million, one hundred one thousand, eighty-eight".