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116013653664 = 2532956374017
BaseRepresentation
bin110110000001011110…
…0111101111010100000
3102002110012011020100120
41230002330331322200
53400043443404124
6125143531120240
711244632533266
oct1540274757240
9362405136316
10116013653664
1145223757117
121a5988a3080
13ac2b36655c
145887b48436
15304002ad79
hex1b02f3dea0

116013653664 has 96 divisors (see below), whose sum is σ = 315600909120. Its totient is φ = 37270904832.

The previous prime is 116013653653. The next prime is 116013653671. The reversal of 116013653664 is 466356310611.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1530384 + ... + 1604400.

It is an arithmetic number, because the mean of its divisors is an integer number (3287509470).

Almost surely, 2116013653664 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 116013653664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157800454560).

116013653664 is an abundant number, since it is smaller than the sum of its proper divisors (199587255456).

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

116013653664 is a wasteful number, since it uses less digits than its factorization.

116013653664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74622 (or 74614 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 116013653664 in words is "one hundred sixteen billion, thirteen million, six hundred fifty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 563 696 928 1126 1392 1689 2252 2784 3378 4504 6756 9008 13512 16327 18016 27024 32654 48981 54048 65308 74017 97962 130616 148034 195924 222051 261232 296068 391848 444102 522464 592136 783696 888204 1184272 1567392 1776408 2146493 2368544 3552816 4292986 6439479 7105632 8585972 12878958 17171944 25757916 34343888 41671571 51515832 68687776 83343142 103031664 125014713 166686284 206063328 250029426 333372568 500058852 666745136 1000117704 1208475559 1333490272 2000235408 2416951118 3625426677 4000470816 4833902236 7250853354 9667804472 14501706708 19335608944 29003413416 38671217888 58006826832 116013653664