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58429290465 = 355713836367
BaseRepresentation
bin110110011010101010…
…000011011111100001
312120211001000111100000
4312122222003133201
51424130344243330
642501514250213
74135634526420
oct663252033741
9176731014300
1058429290465
11228638a1807
12b3a7a26969
13568220b470
142b840252b7
1517be8dc560
hexd9aa837e1

58429290465 has 192 divisors, whose sum is σ = 130843754496. Its totient is φ = 24354991872.

The previous prime is 58429290457. The next prime is 58429290467. The reversal of 58429290465 is 56409292485.

58429290465 is a `hidden beast` number, since 5 + 8 + 4 + 2 + 92 + 90 + 465 = 666.

It is not a de Polignac number, because 58429290465 - 23 = 58429290457 is a prime.

It is not an unprimeable number, because it can be changed into a prime (58429290467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9173712 + ... + 9180078.

It is an arithmetic number, because the mean of its divisors is an integer number (681477888).

Almost surely, 258429290465 is an apocalyptic number.

It is an amenable number.

58429290465 is an abundant number, since it is smaller than the sum of its proper divisors (72414464031).

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

58429290465 is a wasteful number, since it uses less digits than its factorization.

58429290465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6490 (or 6478 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 58429290465 in words is "fifty-eight billion, four hundred twenty-nine million, two hundred ninety thousand, four hundred sixty-five".