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116657853372 = 22343719015119
BaseRepresentation
bin110110010100101011…
…0011001001110111100
3102011010002022222020000
41230221112121032330
53402403402301442
6125331502354300
711266614251454
oct1545126311674
9364102288200
10116657853372
1145524353975
121a73858b990
13b001969408
145909518d64
15307b879d4c
hex1b295993bc

116657853372 has 120 divisors (see below), whose sum is σ = 313434992640. Its totient is φ = 37807689600.

The previous prime is 116657853359. The next prime is 116657853379. The reversal of 116657853372 is 273358756611.

116657853372 is a `hidden beast` number, since 1 + 1 + 66 + 578 + 5 + 3 + 3 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116657853379) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22786629 + ... + 22791747.

It is an arithmetic number, because the mean of its divisors is an integer number (2611958272).

Almost surely, 2116657853372 is an apocalyptic number.

116657853372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116657853372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156717496320).

116657853372 is an abundant number, since it is smaller than the sum of its proper divisors (196777139268).

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

116657853372 is a wasteful number, since it uses less digits than its factorization.

116657853372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7073 (or 7062 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 54.

The spelling of 116657853372 in words is "one hundred sixteen billion, six hundred fifty-seven million, eight hundred fifty-three thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 324 333 444 666 999 1332 1901 1998 2997 3802 3996 5119 5703 5994 7604 10238 11406 11988 15357 17109 20476 22812 30714 34218 46071 51327 61428 68436 70337 92142 102654 138213 140674 153981 184284 189403 205308 211011 276426 281348 307962 378806 414639 422022 552852 568209 615924 633033 757612 829278 844044 1136418 1266066 1658556 1704627 1899099 2272836 2532132 3409254 3798198 5113881 5697297 6818508 7596396 9731219 10227762 11394594 15341643 19462438 20455524 22789188 29193657 30683286 38924876 58387314 61366572 87580971 116774628 175161942 262742913 350323884 360055103 525485826 720110206 788228739 1050971652 1080165309 1440220412 1576457478 2160330618 3152914956 3240495927 4320661236 6480991854 9721487781 12961983708 19442975562 29164463343 38885951124 58328926686 116657853372