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58954909104 = 2434713238453
BaseRepresentation
bin110110111001111111…
…001000010110110000
312122011200001200120000
4312321333020112300
51431214424042404
643030012150000
74154646313320
oct667177102660
9178150050500
1058954909104
1123003566883
12b513a68300
135737093200
142bd3b69280
151800b16339
hexdb9fc85b0

58954909104 has 300 divisors, whose sum is σ = 211168756656. Its totient is φ = 15548143104.

The previous prime is 58954909087. The next prime is 58954909121. The reversal of 58954909104 is 40190945985.

58954909104 is a `hidden beast` number, since 5 + 8 + 9 + 549 + 0 + 91 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (58954909087) and next prime (58954909121).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1513942 + ... + 1552394.

Almost surely, 258954909104 is an apocalyptic number.

58954909104 is a gapful number since it is divisible by the number (54) 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 58954909104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105584378328).

58954909104 is an abundant number, since it is smaller than the sum of its proper divisors (152213847552).

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

58954909104 is a wasteful number, since it uses less digits than its factorization.

58954909104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38506 (or 38478 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 58954909104 in words is "fifty-eight billion, nine hundred fifty-four million, nine hundred nine thousand, one hundred four".