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45314482176 = 21332614617
BaseRepresentation
bin101010001100111101…
…000010000000000000
311022222001012012111200
4222030331002000000
51220301001412201
632452302341200
73162635512635
oct521475020000
9138861165450
1045314482176
1118243931177
12894788a800
13437210c982
14229c33218c
1512a335d386
hexa8cf42000

45314482176 has 84 divisors (see below), whose sum is σ = 130900727022. Its totient is φ = 15104802816.

The previous prime is 45314482123. The next prime is 45314482183. The reversal of 45314482176 is 67128441354.

45314482176 is a `hidden beast` number, since 4 + 5 + 31 + 448 + 2 + 176 = 666.

It can be written as a sum of positive squares in only one way, i.e., 36643147776 + 8671334400 = 191424^2 + 93120^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 233581 + ... + 381036.

Almost surely, 245314482176 is an apocalyptic number.

It is an amenable number.

45314482176 is an abundant number, since it is smaller than the sum of its proper divisors (85586244846).

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

45314482176 is an equidigital number, since it uses as much as digits as its factorization.

45314482176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614649 (or 614622 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The spelling of 45314482176 in words is "forty-five billion, three hundred fourteen million, four hundred eighty-two thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4096 4608 6144 8192 9216 12288 18432 24576 36864 73728 614617 1229234 1843851 2458468 3687702 4916936 5531553 7375404 9833872 11063106 14750808 19667744 22126212 29501616 39335488 44252424 59003232 78670976 88504848 118006464 157341952 177009696 236012928 314683904 354019392 472025856 629367808 708038784 944051712 1258735616 1416077568 1888103424 2517471232 2832155136 3776206848 5034942464 5664310272 7552413696 11328620544 15104827392 22657241088 45314482176