Search a number
-
+
116616676464 = 24322776614423
BaseRepresentation
bin110110010011011100…
…1010100010001110000
3102011000012211222010100
41230212321110101300
53402312332121324
6125323432032400
711265604252251
oct1544671242160
9364005758110
10116616676464
114550308a072
121a726832700
13acc627cc92
145903c7ab28
153077e444c9
hex1b26e54470

116616676464 has 120 divisors (see below), whose sum is σ = 328112631392. Its totient is φ = 38664552960.

The previous prime is 116616676453. The next prime is 116616676481. The reversal of 116616676464 is 464676616611.

116616676464 is a `hidden beast` number, since 1 + 16 + 6 + 166 + 7 + 6 + 464 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 116616676464.

It is a congruent number.

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, 26363757 + ... + 26368179.

Almost surely, 2116616676464 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 116616676464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164056315696).

116616676464 is an abundant number, since it is smaller than the sum of its proper divisors (211495954928).

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

116616676464 is a wasteful number, since it uses less digits than its factorization.

116616676464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5375 (or 5366 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 116616676464 in words is "one hundred sixteen billion, six hundred sixteen million, six hundred seventy-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 277 554 661 831 1108 1322 1662 1983 2216 2493 2644 3324 3966 4423 4432 4986 5288 5949 6648 7932 8846 9972 10576 11898 13269 13296 15864 17692 19944 23796 26538 31728 35384 39807 39888 47592 53076 70768 79614 95184 106152 159228 183097 212304 318456 366194 549291 636912 732388 1098582 1225171 1464776 1647873 2197164 2450342 2923603 2929552 3295746 3675513 4394328 4900684 5847206 6591492 7351026 8770809 8788656 9801368 11026539 11694412 13182984 14702052 17541618 19602736 22053078 23388824 26312427 26365968 29404104 35083236 44106156 46777648 52624854 58808208 70166472 88212312 105249708 140332944 176424624 210499416 420998832 809838031 1619676062 2429514093 3239352124 4859028186 6478704248 7288542279 9718056372 12957408496 14577084558 19436112744 29154169116 38872225488 58308338232 116616676464