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113138053166556 = 223411311024022059
BaseRepresentation
bin11001101110011000000001…
…011110000011010111011100
3112211120220002110012112220000
4121232120001132003113130
5104312123213102312211
61040342523141454300
732554645266364665
oct3156300136032734
9484526073175800
10113138053166556
113305a640567250
1210832ab5111390
134b18b462427a2
141dd1ca7a8a36c
15d12ea8cb8656
hex66e6017835dc

113138053166556 has 120 divisors (see below), whose sum is σ = 333061126970880. Its totient is φ = 33178314679200.

The previous prime is 113138053166549. The next prime is 113138053166569. The reversal of 113138053166556 is 655661350831311.

113138053166556 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 3 + 80 + 5 + 3 + 1 + 6 + 6 + 556 = 666.

113138053166556 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1131380531665562 (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 511900546 + ... + 512121513.

It is an arithmetic number, because the mean of its divisors is an integer number (2775509391424).

Almost surely, 2113138053166556 is an apocalyptic number.

It is an amenable number.

113138053166556 is an abundant number, since it is smaller than the sum of its proper divisors (219923073804324).

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

113138053166556 is a wasteful number, since it uses less digits than its factorization.

113138053166556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024022117 (or 1024022106 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 113138053166556 in words is "one hundred thirteen trillion, one hundred thirty-eight billion, fifty-three million, one hundred sixty-six thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 31 33 36 44 54 62 66 81 93 99 108 124 132 162 186 198 279 297 324 341 372 396 558 594 682 837 891 1023 1116 1188 1364 1674 1782 2046 2511 3069 3348 3564 4092 5022 6138 9207 10044 12276 18414 27621 36828 55242 110484 1024022059 2048044118 3072066177 4096088236 6144132354 9216198531 11264242649 12288264708 18432397062 22528485298 27648595593 31744683829 33792727947 36864794124 45056970596 55297191186 63489367658 67585455894 82945786779 95234051487 101378183841 110594382372 126978735316 135170911788 165891573558 190468102974 202756367682 285702154461 304134551523 331783147116 349191522119 380936205948 405512735364 571404308922 608269103046 698383044238 857106463383 912403654569 1047574566357 1142808617844 1216538206092 1396766088476 1714212926766 1824807309138 2095149132714 2571319390149 3142723699071 3428425853532 3649614618276 4190298265428 5142638780298 6285447398142 9428171097213 10285277560596 12570894796284 18856342194426 28284513291639 37712684388852 56569026583278 113138053166556