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45268131024 = 2432314362021
BaseRepresentation
bin101010001010001100…
…001101110011010000
311022211210222022200100
4222022030031303100
51220202120143044
632443525052400
73161533523244
oct521214156320
9138753868610
1045268131024
111821a752936
128934257100
13436563135c
142296108424
15129e254869
hexa8a30dcd0

45268131024 has 30 divisors (see below), whose sum is σ = 126687894866. Its totient is φ = 15089376960.

The previous prime is 45268130989. The next prime is 45268131031. The reversal of 45268131024 is 42013186254.

It is a happy number.

45268131024 is a `hidden beast` number, since 4 + 526 + 81 + 31 + 0 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 31477856400 + 13790274624 = 177420^2 + 117432^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 45268131024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 157180867 + ... + 157181154.

Almost surely, 245268131024 is an apocalyptic number.

It is an amenable number.

45268131024 is an abundant number, since it is smaller than the sum of its proper divisors (81419763842).

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

45268131024 is a wasteful number, since it uses less digits than its factorization.

45268131024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314362035 (or 314362026 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 45268131024 in words is "forty-five billion, two hundred sixty-eight million, one hundred thirty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 314362021 628724042 943086063 1257448084 1886172126 2514896168 2829258189 3772344252 5029792336 5658516378 7544688504 11317032756 15089377008 22634065512 45268131024