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45713900304 = 2432317457641
BaseRepresentation
bin101010100100110000…
…101100001100010000
311100222212202202011200
4222210300230030100
51222110224302204
633000051311200
73205555512162
oct524460541420
9140885682150
1045713900304
11184293399a6
128a395ab500
134406aa9467
1422d93c4932
1512c8459539
hexaa4c2c310

45713900304 has 30 divisors (see below), whose sum is σ = 127935429726. Its totient is φ = 15237966720.

The previous prime is 45713900299. The next prime is 45713900333. The reversal of 45713900304 is 40300931754.

It can be written as a sum of positive squares in only one way, i.e., 39014150400 + 6699749904 = 197520^2 + 81852^2 .

It is a super-3 number, since 3×457139003043 (a number of 33 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 158728677 + ... + 158728964.

Almost surely, 245713900304 is an apocalyptic number.

It is an amenable number.

45713900304 is an abundant number, since it is smaller than the sum of its proper divisors (82221529422).

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

45713900304 is a wasteful number, since it uses less digits than its factorization.

45713900304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317457655 (or 317457646 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 45713900304 in words is "forty-five billion, seven hundred thirteen million, nine hundred thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 317457641 634915282 952372923 1269830564 1904745846 2539661128 2857118769 3809491692 5079322256 5714237538 7618983384 11428475076 15237966768 22856950152 45713900304