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76190855972 = 22721186340949
BaseRepresentation
bin100011011110101010…
…1000011001100100100
321021122212112111201112
41012331111003030210
52222014324342342
655000202244152
75335036406300
oct1067525031444
9237585474645
1076190855972
112a34882a870
12129241b6658
137252c1863a
14398ad06d00
151eadd98682
hex11bd543324

76190855972 has 72 divisors (see below), whose sum is σ = 169403270400. Its totient is φ = 29649627840.

The previous prime is 76190855947. The next prime is 76190855989. The reversal of 76190855972 is 27955809167.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1840154 + ... + 1881102.

It is an arithmetic number, because the mean of its divisors is an integer number (2352823200).

Almost surely, 276190855972 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 76190855972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84701635200).

76190855972 is an abundant number, since it is smaller than the sum of its proper divisors (93212414428).

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

76190855972 is a wasteful number, since it uses less digits than its factorization.

76190855972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41841 (or 41832 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 59.

The spelling of 76190855972 in words is "seventy-six billion, one hundred ninety million, eight hundred fifty-five thousand, nine hundred seventy-two".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 154 196 308 539 863 1078 1726 2156 3452 6041 9493 12082 18986 24164 37972 40949 42287 66451 81898 84574 132902 163796 169148 265804 286643 450439 465157 573286 900878 930314 1146572 1801756 1860628 2006501 3153073 4013002 6306146 8026004 12612292 22071511 35338987 44143022 70677974 88286044 141355948 247372909 388728857 494745818 777457714 989491636 1554915428 1731610363 2721101999 3463220726 5442203998 6926441452 10884407996 19047713993 38095427986 76190855972