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45726262568 = 23723110913449
BaseRepresentation
bin101010100101011111…
…110110010100101000
311101000202000211000022
4222211133312110220
51222121410400233
633001212300012
73206065550600
oct524537662450
9141022024008
1045726262568
1118435312948
128a41771608
1344095172cc
1422dacc1c00
1512c959c398
hexaa57f6528

45726262568 has 96 divisors (see below), whose sum is σ = 103076064000. Its totient is φ = 18941932800.

The previous prime is 45726262531. The next prime is 45726262609. The reversal of 45726262568 is 86526262754.

It is a Cunningham number, because it is equal to 2138372-1.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13256108 + ... + 13259556.

It is an arithmetic number, because the mean of its divisors is an integer number (1073709000).

Almost surely, 245726262568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45726262568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51538032000).

45726262568 is an abundant number, since it is smaller than the sum of its proper divisors (57349801432).

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

45726262568 is a wasteful number, since it uses less digits than its factorization.

45726262568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4591 (or 4580 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 53.

The spelling of 45726262568 in words is "forty-five billion, seven hundred twenty-six million, two hundred sixty-two thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 31 49 56 62 98 124 196 217 248 392 434 868 1091 1519 1736 2182 3038 3449 4364 6076 6898 7637 8728 12152 13796 15274 24143 27592 30548 33821 48286 53459 61096 67642 96572 106918 106919 135284 169001 193144 213836 213838 236747 270568 338002 427672 427676 473494 676004 748433 855352 946988 1352008 1496866 1657229 1893976 2993732 3314458 3762859 5239031 5987464 6628916 7525718 10478062 13257832 15051436 20956124 26340013 30102872 41912248 52680026 105360052 116648629 184380091 210720104 233297258 368760182 466594516 737520364 816540403 933189032 1475040728 1633080806 3266161612 5715782821 6532323224 11431565642 22863131284 45726262568