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77220628996 = 22722328632
BaseRepresentation
bin100011111101010110…
…1010100101000000100
321101022122020101202011
41013322231110220010
52231121440111441
655250310024004
75402412342100
oct1077255245004
9241278211664
1077220628996
112a827039555
1212b71048004
13738837b3a4
143a479a4900
15201e4ab581
hex11fab54a04

77220628996 has 81 divisors (see below), whose sum is σ = 164521684551. Its totient is φ = 31618980624.

The previous prime is 77220628993. The next prime is 77220629021. The reversal of 77220628996 is 69982602277.

The square root of 77220628996 is 277886.

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

It is a self number, because there is not a number n which added to its sum of digits gives 77220628996.

It is not an unprimeable number, because it can be changed into a prime (77220628993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 89478861 + ... + 89479723.

Almost surely, 277220628996 is an apocalyptic number.

77220628996 is the 277886-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77220628996

77220628996 is an abundant number, since it is smaller than the sum of its proper divisors (87301055555).

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

77220628996 is an equidigital number, since it uses as much as digits as its factorization.

77220628996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1790 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 58.

The spelling of 77220628996 in words is "seventy-seven billion, two hundred twenty million, six hundred twenty-eight thousand, nine hundred ninety-six".

Divisors: 1 2 4 7 14 23 28 46 49 92 98 161 196 322 529 644 863 1058 1127 1726 2116 2254 3452 3703 4508 6041 7406 12082 14812 19849 24164 25921 39698 42287 51842 79396 84574 103684 138943 169148 277886 456527 555772 744769 913054 972601 1489538 1826108 1945202 2979076 3195689 3890404 5213383 6391378 10426766 12782756 17129687 20853532 22369823 34259374 36493681 44739646 68518748 72987362 89479292 119907809 145974724 239815618 393982801 479631236 787965602 839354663 1575931204 1678709326 2757879607 3357418652 5515759214 11031518428 19305157249 38610314498 77220628996