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72406631702704 = 24132879734916453
BaseRepresentation
bin10000011101101001111011…
…100011111110000010110000
3100111101000011122202101122011
4100131221323203332002300
533442302240203441304
6413555051501052304
721152130555416245
oct2035517343760260
9314330148671564
1072406631702704
1121086530a60742
128154a82557094
133152bba7c0a40
1413c46dd1635cc
158586e16d5c04
hex41da7b8fe0b0

72406631702704 has 80 divisors (see below), whose sum is σ = 151161450048000. Its totient is φ = 33400261813248.

The previous prime is 72406631702701. The next prime is 72406631702749. The reversal of 72406631702704 is 40720713660427.

It is not an unprimeable number, because it can be changed into a prime (72406631702701) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4400808142 + ... + 4400824594.

It is an arithmetic number, because the mean of its divisors is an integer number (1889518125600).

Almost surely, 272406631702704 is an apocalyptic number.

It is an amenable number.

72406631702704 is an abundant number, since it is smaller than the sum of its proper divisors (78754818345296).

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

72406631702704 is a wasteful number, since it uses less digits than its factorization.

72406631702704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26702 (or 26696 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 49.

The spelling of 72406631702704 in words is "seventy-two trillion, four hundred six billion, six hundred thirty-one million, seven hundred two thousand, seven hundred four".

Divisors: 1 2 4 8 13 16 26 52 104 208 2879 5758 7349 11516 14698 16453 23032 29396 32906 37427 46064 58792 65812 74854 95537 117584 131624 149708 191074 213889 263248 299416 382148 427778 598832 764296 855556 1528592 1711112 3422224 21157771 42315542 47368187 84631084 94736374 120913097 169262168 189472748 241826194 275051023 338524336 378945496 483652388 550102046 615786431 757890992 967304776 1100204092 1231572862 1571870261 1934609552 2200408184 2463145724 3143740522 4400816368 4926291448 6287481044 9852582896 12574962088 25149924176 348108806263 696217612526 1392435225052 2784870450104 4525414481419 5569740900208 9050828962838 18101657925676 36203315851352 72406631702704