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45613140625 = 5613415477
BaseRepresentation
bin101010011110110000…
…010100101010010001
311100201212011121212201
4222132300110222101
51221403431000000
632542051523201
73203223204163
oct523660245221
9140655147781
1045613140625
1118387479738
128a0b8b9501
1343bbc5ac50
1422c9c76933
1512be6a496a
hexa9ec14a91

45613140625 has 56 divisors (see below), whose sum is σ = 62910600984. Its totient is φ = 32856000000.

The previous prime is 45613140619. The next prime is 45613140637. The reversal of 45613140625 is 52604131654.

It can be written as a sum of positive squares in 28 ways, for example, as 16892720784 + 28720419841 = 129972^2 + 169471^2 .

It is not a de Polignac number, because 45613140625 - 219 = 45612616337 is a prime.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 8325387 + ... + 8330863.

It is an arithmetic number, because the mean of its divisors is an integer number (1123403589).

Almost surely, 245613140625 is an apocalyptic number.

It is an amenable number.

45613140625 is a deficient number, since it is larger than the sum of its proper divisors (17297460359).

45613140625 is an frugal number, since it uses more digits than its factorization.

45613140625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5561 (or 5536 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The spelling of 45613140625 in words is "forty-five billion, six hundred thirteen million, one hundred forty thousand, six hundred twenty-five".

Divisors: 1 5 13 25 41 65 125 205 325 533 625 1025 1625 2665 3125 5125 5477 8125 13325 15625 25625 27385 40625 66625 71201 128125 136925 203125 224557 333125 356005 640625 684625 1122785 1665625 1780025 2919241 3423125 5613925 8328125 8900125 14596205 17115625 28069625 44500625 72981025 85578125 140348125 222503125 364905125 701740625 1112515625 1824525625 3508703125 9122628125 45613140625