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108116181264 = 24371324751873
BaseRepresentation
bin110010010110000111…
…0100000000100010000
3101100001210200001212210
41210230032200010100
53232410220300024
6121400132552120
710545135243360
oct1445416400420
9340053601783
10108116181264
1141940847223
1218b53a82640
13a270140570
145338d2c9a0
152c2ba34129
hex192c3a0110

108116181264 has 80 divisors (see below), whose sum is σ = 343754026112. Its totient is φ = 28514156544.

The previous prime is 108116181263. The next prime is 108116181317. The reversal of 108116181264 is 462181611801.

It is a super-2 number, since 2×1081161812642 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (108116181263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12371569 + ... + 12380304.

Almost surely, 2108116181264 is an apocalyptic number.

108116181264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

108116181264 is an abundant number, since it is smaller than the sum of its proper divisors (235637844848).

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

108116181264 is a wasteful number, since it uses less digits than its factorization.

108116181264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24751904 (or 24751898 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 39.

The spelling of 108116181264 in words is "one hundred eight billion, one hundred sixteen million, one hundred eighty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 1092 1456 2184 4368 24751873 49503746 74255619 99007492 148511238 173263111 198014984 297022476 321774349 346526222 396029968 519789333 594044952 643548698 693052444 965323047 1039578666 1188089904 1287097396 1386104888 1930646094 2079157332 2252420443 2574194792 2772209776 3861292188 4158314664 4504840886 5148389584 6757261329 7722584376 8316629328 9009681772 13514522658 15445168752 18019363544 27029045316 36038727088 54058090632 108116181264