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106823992488 = 23317247327689
BaseRepresentation
bin110001101111100110…
…1001100010010101000
3101012201202012002010020
41203133031030102220
53222233420224423
6121024012520440
710501124645223
oct1433715142250
9335652162106
10106823992488
11413383a4714
1218853180120
13a0c550bb15
1452554825ba
152ba33884e3
hex18df34c4a8

106823992488 has 96 divisors (see below), whose sum is σ = 289730390400. Its totient is φ = 32800258048.

The previous prime is 106823992459. The next prime is 106823992501. The reversal of 106823992488 is 884299328601.

It is a super-2 number, since 2×1068239924882 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162148 + ... + 489836.

It is an arithmetic number, because the mean of its divisors is an integer number (3018024900).

Almost surely, 2106823992488 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 106823992488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144865195200).

106823992488 is an abundant number, since it is smaller than the sum of its proper divisors (182906397912).

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

106823992488 is a wasteful number, since it uses less digits than its factorization.

106823992488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327779 (or 327758 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 60.

The spelling of 106823992488 in words is "one hundred six billion, eight hundred twenty-three million, nine hundred ninety-two thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 47 51 68 94 102 136 141 188 204 282 289 376 408 564 578 799 867 1128 1156 1598 1734 2312 2397 3196 3468 4794 6392 6936 9588 13583 19176 27166 40749 54332 81498 108664 162996 325992 327689 655378 983067 1310756 1966134 2621512 3932268 5570713 7864536 11141426 15401383 16712139 22282852 30802766 33424278 44565704 46204149 61605532 66848556 92408298 94702121 123211064 133697112 184816596 189404242 261823511 284106363 369633192 378808484 523647022 568212726 757616968 785470533 1047294044 1136425452 1570941066 2094588088 2272850904 3141882132 4450999687 6283764264 8901999374 13352999061 17803998748 26705998122 35607997496 53411996244 106823992488