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76720136256 = 263438472
BaseRepresentation
bin100011101110011100…
…0000110000001000000
321100000202110201210000
41013130320012001000
52224110323330011
655124510440000
75354124253431
oct1073470060100
9240022421700
1076720136256
112a59a575995
1212a51503000
137308782c3a
1439db321488
151ee0597356
hex11dce06040

76720136256 has 105 divisors (see below), whose sum is σ = 227481650319. Its totient is φ = 25566731136.

The previous prime is 76720136203. The next prime is 76720136261. The reversal of 76720136256 is 65263102767.

The square root of 76720136256 is 276984.

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

76720136256 is a `hidden beast` number, since 7 + 6 + 7 + 2 + 0 + 13 + 625 + 6 = 666.

It is a super-3 number, since 3×767201362563 (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 19940925 + ... + 19944771.

Almost surely, 276720136256 is an apocalyptic number.

76720136256 is the 276984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76720136256

76720136256 is an abundant number, since it is smaller than the sum of its proper divisors (150761514063).

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

76720136256 is an frugal number, since it uses more digits than its factorization.

76720136256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7718 (or 3852 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 76720136256 in words is "seventy-six billion, seven hundred twenty million, one hundred thirty-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 3847 5184 7694 11541 15388 23082 30776 34623 46164 61552 69246 92328 103869 123104 138492 184656 207738 246208 276984 311607 369312 415476 553968 623214 738624 830952 1107936 1246428 1661904 2215872 2492856 3323808 4985712 6647616 9971424 14799409 19942848 29598818 44398227 59197636 88796454 118395272 133194681 177592908 236790544 266389362 355185816 399584043 473581088 532778724 710371632 799168086 947162176 1065557448 1198752129 1420743264 1598336172 2131114896 2397504258 2841486528 3196672344 4262229792 4795008516 6393344688 8524459584 9590017032 12786689376 19180034064 25573378752 38360068128 76720136256