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78986854116 = 223231215112
BaseRepresentation
bin100100110001111111…
…0111011111011100100
321112212201200221010100
41021203332323323210
52243231113312431
6100141442224100
75464240116342
oct1114376737344
9245781627110
1078986854116
1130553024635
1213384655030
1375aa274201
143b743a8992
1520c45924e6
hex1263fbbee4

78986854116 has 81 divisors (see below), whose sum is σ = 206446291779. Its totient is φ = 25462767600.

The previous prime is 78986854097. The next prime is 78986854123. The reversal of 78986854116 is 61145868987.

The square root of 78986854116 is 281046.

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

78986854116 is a `hidden beast` number, since 7 + 8 + 9 + 86 + 8 + 541 + 1 + 6 = 666.

It is a super-2 number, since 2×789868541162 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 52273801 + ... + 52275311.

Almost surely, 278986854116 is an apocalyptic number.

78986854116 is the 281046-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78986854116

78986854116 is an abundant number, since it is smaller than the sum of its proper divisors (127459437663).

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

78986854116 is a wasteful number, since it uses less digits than its factorization.

78986854116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3094 (or 1547 counting only the distinct ones).

The product of its digits is 23224320, while the sum is 63.

The spelling of 78986854116 in words is "seventy-eight billion, nine hundred eighty-six million, eight hundred fifty-four thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 961 1116 1511 1922 2883 3022 3844 4533 5766 6044 8649 9066 11532 13599 17298 18132 27198 34596 46841 54396 93682 140523 187364 281046 421569 562092 843138 1452071 1686276 2283121 2904142 4356213 4566242 5808284 6849363 8712426 9132484 13068639 13698726 17424852 20548089 26137278 27397452 41096178 52274556 70776751 82192356 141553502 212330253 283107004 424660506 636990759 849321012 1273981518 2194079281 2547963036 4388158562 6582237843 8776317124 13164475686 19746713529 26328951372 39493427058 78986854116