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45686338704 = 2432417738201
BaseRepresentation
bin101010100011000111…
…100011010010010000
311100220221220110202200
4222203013203102100
51222031200314304
632553224443200
73205102320516
oct524307432220
9140827813680
1045686338704
1118414824516
128a30319500
134401179316
1422d588c4b6
1512c5d12e39
hexaa31e3490

45686338704 has 60 divisors (see below), whose sum is σ = 130976807052. Its totient is φ = 14857344000.

The previous prime is 45686338651. The next prime is 45686338729. The reversal of 45686338704 is 40783368654.

45686338704 is a `hidden beast` number, since 4 + 568 + 6 + 3 + 3 + 8 + 70 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 26259554304 + 19426784400 = 162048^2 + 139380^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3863197 + ... + 3875004.

Almost surely, 245686338704 is an apocalyptic number.

It is an amenable number.

45686338704 is an abundant number, since it is smaller than the sum of its proper divisors (85290468348).

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

45686338704 is a wasteful number, since it uses less digits than its factorization.

45686338704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7738256 (or 7738247 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 45686338704 in words is "forty-five billion, six hundred eighty-six million, three hundred thirty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 328 369 492 656 738 984 1476 1968 2952 5904 7738201 15476402 23214603 30952804 46429206 61905608 69643809 92858412 123811216 139287618 185716824 278575236 317266241 371433648 557150472 634532482 951798723 1114300944 1269064964 1903597446 2538129928 2855396169 3807194892 5076259856 5710792338 7614389784 11421584676 15228779568 22843169352 45686338704