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76726784016 = 24324125632
BaseRepresentation
bin100011101110101000…
…1011101000000010000
321100001012222110210100
41013131101131000100
52224114024042031
655125305132400
75354234621601
oct1073521350020
9240035873710
1076726784016
112a5a32a6503
1212a5378a100
137309c6ca1c
1439dc171da8
151ee0e5bde6
hex11dd45d010

76726784016 has 135 divisors (see below), whose sum is σ = 220485071677. Its totient is φ = 24907480320.

The previous prime is 76726784003. The next prime is 76726784023. The reversal of 76726784016 is 61048762767.

The square root of 76726784016 is 276996.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3697126416 + 73029657600 = 60804^2 + 270240^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 136281751 + ... + 136282313.

Almost surely, 276726784016 is an apocalyptic number.

76726784016 is the 276996-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76726784016

76726784016 is an abundant number, since it is smaller than the sum of its proper divisors (143758287661).

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

76726784016 is an equidigital number, since it uses as much as digits as its factorization.

76726784016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 76726784016 in words is "seventy-six billion, seven hundred twenty-six million, seven hundred eighty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 328 369 492 563 656 738 984 1126 1476 1681 1689 1968 2252 2952 3362 3378 4504 5043 5067 5904 6724 6756 9008 10086 10134 13448 13512 15129 20172 20268 23083 26896 27024 30258 40344 40536 46166 60516 69249 80688 81072 92332 121032 138498 184664 207747 242064 276996 316969 369328 415494 553992 633938 830988 946403 950907 1107984 1267876 1661976 1892806 1901814 2535752 2839209 2852721 3323952 3785612 3803628 5071504 5678418 5705442 7571224 7607256 8517627 11356836 11410884 12995729 15142448 15214512 17035254 22713672 22821768 25991458 34070508 38987187 45427344 45643536 51982916 68141016 77974374 103965832 116961561 136282032 155948748 207931664 233923122 311897496 467846244 532824889 623794992 935692488 1065649778 1598474667 1871384976 2131299556 3196949334 4262599112 4795424001 6393898668 8525198224 9590848002 12787797336 19181696004 25575594672 38363392008 76726784016