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113156663136 = 25311263407437
BaseRepresentation
bin110100101100010101…
…0011010011101100000
3101211002002020002010120
41221120222122131200
53323221101210021
6123552232000240
711114061523656
oct1513052323540
9354062202116
10113156663136
1143a97a93920
1219b1bb30080
13a8944a410a
14569652add6
152e242d52c6
hex1a58a9a760

113156663136 has 96 divisors (see below), whose sum is σ = 325272423168. Its totient is φ = 34159434240.

The previous prime is 113156663111. The next prime is 113156663161. The reversal of 113156663136 is 631366651311.

It is an interprime number because it is at equal distance from previous prime (113156663111) and next prime (113156663161).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74010 + ... + 481446.

It is an arithmetic number, because the mean of its divisors is an integer number (3388254408).

Almost surely, 2113156663136 is an apocalyptic number.

113156663136 is a gapful number since it is divisible by the number (16) 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 113156663136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162636211584).

113156663136 is an abundant number, since it is smaller than the sum of its proper divisors (212115760032).

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

113156663136 is a wasteful number, since it uses less digits than its factorization.

113156663136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407724 (or 407716 counting only the distinct ones).

The product of its digits is 174960, while the sum is 42.

The spelling of 113156663136 in words is "one hundred thirteen billion, one hundred fifty-six million, six hundred sixty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 263 264 352 526 528 789 1052 1056 1578 2104 2893 3156 4208 5786 6312 8416 8679 11572 12624 17358 23144 25248 34716 46288 69432 92576 138864 277728 407437 814874 1222311 1629748 2444622 3259496 4481807 4889244 6518992 8963614 9778488 13037984 13445421 17927228 19556976 26890842 35854456 39113952 53781684 71708912 107155931 107563368 143417824 214311862 215126736 321467793 428623724 430253472 642935586 857247448 1178715241 1285871172 1714494896 2357430482 2571742344 3428989792 3536145723 4714860964 5143484688 7072291446 9429721928 10286969376 14144582892 18859443856 28289165784 37718887712 56578331568 113156663136