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76507911312 = 243783233053
BaseRepresentation
bin100011101000000111…
…0100001010010010000
321022110222010120212220
41013100032201102100
52223142011130222
655051450021040
75345636342010
oct1072016412220
9238428116786
1076507911312
112a4a07a3178
12129b2417780
1372a3808451
1439bb079c40
151ecbb25b5c
hex11d03a1490

76507911312 has 120 divisors (see below), whose sum is σ = 228641657664. Its totient is φ = 21595383552.

The previous prime is 76507911283. The next prime is 76507911323. The reversal of 76507911312 is 21311970567.

It is a super-2 number, since 2×765079113122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 23 ways as a sum of consecutive naturals, for example, 2298178 + ... + 2331230.

Almost surely, 276507911312 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 76507911312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114320828832).

76507911312 is an abundant number, since it is smaller than the sum of its proper divisors (152133746352).

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

76507911312 is a wasteful number, since it uses less digits than its factorization.

76507911312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33237 (or 33148 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 42.

The spelling of 76507911312 in words is "seventy-six billion, five hundred seven million, nine hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 83 84 112 166 168 249 332 336 498 581 664 996 1162 1328 1743 1992 2324 3486 3984 4648 6889 6972 9296 13778 13944 20667 27556 27888 33053 41334 48223 55112 66106 82668 96446 99159 110224 132212 144669 165336 192892 198318 231371 264424 289338 330672 385784 396636 462742 528848 578676 694113 771568 793272 925484 1157352 1388226 1586544 1850968 2314704 2743399 2776452 3701936 5486798 5552904 8230197 10973596 11105808 16460394 19203793 21947192 32920788 38407586 43894384 57611379 65841576 76815172 115222758 131683152 153630344 227702117 230445516 307260688 455404234 460891032 683106351 910808468 921782064 1366212702 1593914819 1821616936 2732425404 3187829638 3643233872 4781744457 5464850808 6375659276 9563488914 10929701616 12751318552 19126977828 25502637104 38253955656 76507911312