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116792006682 = 23132389977541
BaseRepresentation
bin110110011000101011…
…0001001100000011010
3102011110102202122222010
41230301112021200122
53403142223203212
6125353054010350
711303133451131
oct1546126114032
9364412678863
10116792006682
114559305227a
121a7754a69b6
13b0236aa480
14591d27a918
15308852903c
hex1b3158981a

116792006682 has 128 divisors (see below), whose sum is σ = 268210414080. Its totient is φ = 33632501760.

The previous prime is 116792006671. The next prime is 116792006717. The reversal of 116792006682 is 286600297611.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15483832 + ... + 15491372.

It is an arithmetic number, because the mean of its divisors is an integer number (2095393860).

Almost surely, 2116792006682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116792006682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134105207040).

116792006682 is an abundant number, since it is smaller than the sum of its proper divisors (151418407398).

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

116792006682 is a wasteful number, since it uses less digits than its factorization.

116792006682 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7768.

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 116792006682 in words is "one hundred sixteen billion, seven hundred ninety-two million, six thousand, six hundred eighty-two".

Divisors: 1 2 3 6 13 23 26 39 46 69 78 89 97 138 178 194 267 291 299 534 582 598 897 1157 1261 1794 2047 2231 2314 2522 3471 3783 4094 4462 6141 6693 6942 7541 7566 8633 12282 13386 15082 17266 22623 25899 26611 29003 45246 51798 53222 58006 79833 87009 98033 112229 159666 173443 174018 196066 198559 224458 294099 336687 346886 397118 520329 588198 595677 671149 673374 731477 1040658 1191354 1342298 1462954 2013447 2194431 2254759 2581267 4026894 4388862 4509518 5162534 6764277 7743801 8724937 9509201 13528554 15436427 15487602 16823971 17449874 19018402 26174811 28527603 30872854 33647942 46309281 50471913 52349622 57055206 65101453 92618562 100943826 130202906 195304359 200673551 218711623 390608718 401347102 437423246 602020653 656134869 846318889 1204041306 1312269738 1497333419 1692637778 2538956667 2994666838 4492000257 5077913334 8984000514 19465334447 38930668894 58396003341 116792006682