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77904624996 = 223211242292
BaseRepresentation
bin100100010001101111…
…0100011110101100100
321110002022021222212100
41020203132203311210
52234022040444441
655442222252100
75425356246402
oct1104336436544
9243068258770
1077904624996
1130048147900
1213122127030
137466ca6153
143ab0774472
15205e56bcb6
hex12237a3d64

77904624996 has 81 divisors (see below), whose sum is σ = 216506585113. Its totient is φ = 23601879840.

The previous prime is 77904624979. The next prime is 77904625003. The reversal of 77904624996 is 69942640977.

The square root of 77904624996 is 279114.

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., 77610159396 + 294465600 = 278586^2 + 17160^2 .

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, 18419410 + ... + 18423638.

Almost surely, 277904624996 is an apocalyptic number.

77904624996 is the 279114-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77904624996

77904624996 is an abundant number, since it is smaller than the sum of its proper divisors (138601960117).

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

77904624996 is a wasteful number, since it uses less digits than its factorization.

77904624996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8490 (or 4245 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 77904624996 in words is "seventy-seven billion, nine hundred four million, six hundred twenty-four thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4229 4356 8458 12687 16916 25374 38061 46519 50748 76122 93038 139557 152244 186076 279114 418671 511709 558228 837342 1023418 1535127 1674684 2046836 3070254 4605381 6140508 9210762 17884441 18421524 35768882 53653323 71537764 107306646 160959969 196728851 214613292 321919938 393457702 590186553 643839876 786915404 1180373106 1770559659 2164017361 2360746212 3541119318 4328034722 6492052083 7082238636 8656069444 12984104166 19476156249 25968208332 38952312498 77904624996