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45460560690 = 234556124149
BaseRepresentation
bin101010010101101010…
…010001101100110010
311100100020001202120000
4222111222101230302
51221100400420230
632515001330430
73166361250546
oct522552215462
9140306052500
1045460560690
1118309335116
128988796a16
13439646796c
1422b38b9a26
1512b10b5b60
hexa95a91b32

45460560690 has 40 divisors (see below), whose sum is σ = 122238398700. Its totient is φ = 12122815968.

The previous prime is 45460560667. The next prime is 45460560707. The reversal of 45460560690 is 9606506454.

45460560690 is a `hidden beast` number, since 45 + 46 + 0 + 560 + 6 + 9 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 43046705529 + 2413855161 = 207477^2 + 49131^2 .

It is a super-2 number, since 2×454605606902 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 28061265 + ... + 28062884.

Almost surely, 245460560690 is an apocalyptic number.

45460560690 is an abundant number, since it is smaller than the sum of its proper divisors (76777838010).

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

45460560690 is a wasteful number, since it uses less digits than its factorization.

45460560690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56124168 (or 56124159 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 45460560690 in words is "forty-five billion, four hundred sixty million, five hundred sixty thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 56124149 112248298 168372447 280620745 336744894 505117341 561241490 841862235 1010234682 1515352023 1683724470 2525586705 3030704046 4546056069 5051173410 7576760115 9092112138 15153520230 22730280345 45460560690