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45037996164 = 22367171071213
BaseRepresentation
bin101001111100011110…
…010100100010000100
311022020202221021000000
4221330132110202010
51214214211334124
632405024321300
73153040436160
oct517436244204
9138222837000
1045037996164
1118111858137
12888b173230
134329a55895
14227371dca0
151288e466c9
hexa7c794884

45037996164 has 336 divisors, whose sum is σ = 144451859328. Its totient is φ = 11987979264.

The previous prime is 45037996163. The next prime is 45037996247. The reversal of 45037996164 is 46169973054.

45037996164 is a `hidden beast` number, since 4 + 503 + 79 + 9 + 6 + 1 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 45037996164.

It is not an unprimeable number, because it can be changed into a prime (45037996163) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 37128822 + ... + 37130034.

It is an arithmetic number, because the mean of its divisors is an integer number (429916248).

Almost surely, 245037996164 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 45037996164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72225929664).

45037996164 is an abundant number, since it is smaller than the sum of its proper divisors (99413863164).

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

45037996164 is a wasteful number, since it uses less digits than its factorization.

45037996164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 45037996164 in words is "forty-five billion, thirty-seven million, nine hundred ninety-six thousand, one hundred sixty-four".