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45361745706264 = 23313610572381221
BaseRepresentation
bin10100101000001100110101…
…01111010011110100011000
312221121112121001102001000120
422110012122233103310120
521421201323400100024
6240250522010433240
712361164226423551
oct1224063257236430
9187545531361016
1045361745706264
11134a9898966939
1251074b0a32820
131c407957a7ca0
14b2b73d639328
15539e6a731479
hex29419abd3d18

45361745706264 has 64 divisors (see below), whose sum is σ = 122129828415840. Its totient is φ = 13957225758720.

The previous prime is 45361745706241. The next prime is 45361745706307. The reversal of 45361745706264 is 46260754716354.

It is a junction number, because it is equal to n+sod(n) for n = 45361745706198 and 45361745706207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17859174 + ... + 20240394.

Almost surely, 245361745706264 is an apocalyptic number.

It is an amenable number.

45361745706264 is an abundant number, since it is smaller than the sum of its proper divisors (76768082709576).

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

45361745706264 is a wasteful number, since it uses less digits than its factorization.

45361745706264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2442300 (or 2442296 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 60.

The spelling of 45361745706264 in words is "forty-five trillion, three hundred sixty-one billion, seven hundred forty-five million, seven hundred six thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 61057 122114 183171 244228 366342 488456 732684 793741 1465368 1587482 2381221 2381223 3174964 4762442 4762446 6349928 7143663 9524884 9524892 14287326 19049768 19049784 28574652 30955873 57149304 61911746 92867619 123823492 185735238 247646984 371470476 742940952 145390210597 290780421194 436170631791 581560842388 872341263582 1163121684776 1744682527164 1890072737761 3489365054328 3780145475522 5670218213283 7560290951044 11340436426566 15120581902088 22680872853132 45361745706264