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108198969540408 = 233223280312330903
BaseRepresentation
bin11000100110100000001001…
…001001001111111100111000
3112012002201110012222211211100
4120212200021021033330320
5103140212442200243113
61022041530450331400
731535055221303235
oct3046401111177470
9465081405884740
10108198969540408
1131525a1a62300a
1210175827b89b60
13484b171715b66
141ca0c0277678c
15c797844acd73
hex62680924ff38

108198969540408 has 96 divisors (see below), whose sum is σ = 305790736343040. Its totient is φ = 34496976655680.

The previous prime is 108198969540379. The next prime is 108198969540433. The reversal of 108198969540408 is 804045969891801.

108198969540408 is a `hidden beast` number, since 1 + 0 + 8 + 1 + 9 + 8 + 96 + 95 + 40 + 408 = 666.

It is a super-2 number, since 2×1081989695404082 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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, 45253885 + ... + 47584787.

It is an arithmetic number, because the mean of its divisors is an integer number (3185320170240).

Almost surely, 2108198969540408 is an apocalyptic number.

108198969540408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

108198969540408 is an abundant number, since it is smaller than the sum of its proper divisors (197591766802632).

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

108198969540408 is a wasteful number, since it uses less digits than its factorization.

108198969540408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2358969 (or 2358962 counting only the distinct ones).

The product of its (nonzero) digits is 179159040, while the sum is 72.

The spelling of 108198969540408 in words is "one hundred eight trillion, one hundred ninety-eight billion, nine hundred sixty-nine million, five hundred forty thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1656 28031 56062 84093 112124 168186 224248 252279 336372 504558 644713 672744 1009116 1289426 1934139 2018232 2330903 2578852 3868278 4661806 5157704 5802417 6992709 7736556 9323612 11604834 13985418 15473112 18647224 20978127 23209668 27970836 41956254 46419336 53610769 55941672 83912508 107221538 160832307 167825016 214443076 321664614 428886152 482496921 643329228 964993842 1286658456 1929987684 3859975368 65337541993 130675083986 196012625979 261350167972 392025251958 522700335944 588037877937 784050503916 1176075755874 1502763465839 1568101007832 2352151511748 3005526931678 4508290397517 4704303023496 6011053863356 9016580795034 12022107726712 13524871192551 18033161590068 27049742385102 36066323180136 54099484770204 108198969540408