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58955033201 = 533541314137
BaseRepresentation
bin110110111001111111…
…100110101001110001
312122011200021222210012
4312321333212221301
51431214442030301
643030014544305
74154650341161
oct667177465161
9178150258705
1058955033201
1123003641039
12b513b08095
13573710783c
142bd3b9c5a1
151800b3cebb
hexdb9fe6a71

58955033201 has 8 divisors (see below), whose sum is σ = 60084546984. Its totient is φ = 57826154880.

The previous prime is 58955033183. The next prime is 58955033219. The reversal of 58955033201 is 10233055985.

It is an interprime number because it is at equal distance from previous prime (58955033183) and next prime (58955033219).

It can be written as a sum of positive squares in 4 ways, for example, as 7889880625 + 51065152576 = 88825^2 + 225976^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-58955033201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (58955033231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30605 + ... + 344741.

It is an arithmetic number, because the mean of its divisors is an integer number (7510568373).

Almost surely, 258955033201 is an apocalyptic number.

It is an amenable number.

58955033201 is a deficient number, since it is larger than the sum of its proper divisors (1129513783).

58955033201 is a wasteful number, since it uses less digits than its factorization.

58955033201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317731.

The product of its (nonzero) digits is 162000, while the sum is 41.

The spelling of 58955033201 in words is "fifty-eight billion, nine hundred fifty-five million, thirty-three thousand, two hundred one".

Divisors: 1 53 3541 187673 314137 16649261 1112359117 58955033201