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77317061892 = 223713721613109
BaseRepresentation
bin100100000000001110…
…1001011110100000100
321101120100200200210220
41020000131023310010
52231321131440032
655304032544340
75404663116420
oct1100035136404
9241510620726
1077317061892
112a876513a64
1212b993b20b0
1373a2343385
143a56707b80
152027ba912c
hex120074bd04

77317061892 has 96 divisors (see below), whose sum is σ = 207846723840. Its totient is φ = 21912145920.

The previous prime is 77317061891. The next prime is 77317061897. The reversal of 77317061892 is 29816071377.

It is a super-2 number, since 2×773170618922 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (77317061891) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 24867234 + ... + 24870342.

It is an arithmetic number, because the mean of its divisors is an integer number (2165070040).

Almost surely, 277317061892 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 77317061892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103923361920).

77317061892 is an abundant number, since it is smaller than the sum of its proper divisors (130529661948).

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

77317061892 is a wasteful number, since it uses less digits than its factorization.

77317061892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5421 (or 5419 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 51.

The spelling of 77317061892 in words is "seventy-seven billion, three hundred seventeen million, sixty-one thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 137 274 411 548 822 959 1644 1918 2161 2877 3109 3836 4322 5754 6218 6483 8644 9327 11508 12436 12966 15127 18654 21763 25932 30254 37308 43526 45381 60508 65289 87052 90762 130578 181524 261156 296057 425933 592114 851866 888171 1184228 1277799 1703732 1776342 2072399 2555598 2981531 3552684 4144798 5111196 5963062 6217197 6718549 8289596 8944593 11926124 12434394 13437098 17889186 20155647 24868788 26874196 35778372 40311294 47029843 80622588 94059686 141089529 188119372 282179058 564358116 920441213 1840882426 2761323639 3681764852 5522647278 6443088491 11045294556 12886176982 19329265473 25772353964 38658530946 77317061892