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45460568224 = 2517451318517
BaseRepresentation
bin101010010101101010…
…010011100010100000
311100100020002010220001
4222111222103202200
51221100401140344
632515001425344
73166361311531
oct522552234240
9140306063801
1045460568224
111830933a845
12898879b254
13439646b216
1422b38bc688
1512b10b7ed4
hexa95a938a0

45460568224 has 48 divisors (see below), whose sum is σ = 94791345768. Its totient is φ = 21387313152.

The previous prime is 45460568159. The next prime is 45460568261. The reversal of 45460568224 is 42286506454.

It can be written as a sum of positive squares in 4 ways, for example, as 24753358224 + 20707210000 = 157332^2 + 143900^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2445814 + ... + 2464330.

Almost surely, 245460568224 is an apocalyptic number.

It is an amenable number.

45460568224 is an abundant number, since it is smaller than the sum of its proper divisors (49330777544).

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

45460568224 is a wasteful number, since it uses less digits than its factorization.

45460568224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23057 (or 23049 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 46.

The spelling of 45460568224 in words is "forty-five billion, four hundred sixty million, five hundred sixty-eight thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 4513 9026 18052 18517 36104 37034 72208 74068 76721 144416 148136 153442 296272 306884 314789 592544 613768 629578 1227536 1259156 2455072 2518312 5036624 10073248 83567221 167134442 334268884 668537768 1337075536 1420642757 2674151072 2841285514 5682571028 11365142056 22730284112 45460568224