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113251306656 = 25317179387677
BaseRepresentation
bin110100101111001001…
…1011100110010100000
3101211022200022110122010
41221132103130302200
53323414313303111
6124005452312520
711116321136415
oct1513623346240
9354280273563
10113251306656
1144036456a04
1219b47772740
13a8aac907b7
1456a4d2610c
152e2c77caa6
hex1a5e4dcca0

113251306656 has 96 divisors (see below), whose sum is σ = 316531333440. Its totient is φ = 35331239936.

The previous prime is 113251306591. The next prime is 113251306661. The reversal of 113251306656 is 656603152311.

113251306656 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98290 + ... + 485966.

It is an arithmetic number, because the mean of its divisors is an integer number (3297201390).

Almost surely, 2113251306656 is an apocalyptic number.

113251306656 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 113251306656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158265666720).

113251306656 is an abundant number, since it is smaller than the sum of its proper divisors (203280026784).

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

113251306656 is a wasteful number, since it uses less digits than its factorization.

113251306656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387886 (or 387878 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

Adding to 113251306656 its reverse (656603152311), we get a palindrome (769854458967).

The spelling of 113251306656 in words is "one hundred thirteen billion, two hundred fifty-one million, three hundred six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 179 204 272 358 408 537 544 716 816 1074 1432 1632 2148 2864 3043 4296 5728 6086 8592 9129 12172 17184 18258 24344 36516 48688 73032 97376 146064 292128 387677 775354 1163031 1550708 2326062 3101416 4652124 6202832 6590509 9304248 12405664 13181018 18608496 19771527 26362036 37216992 39543054 52724072 69394183 79086108 105448144 138788366 158172216 208182549 210896288 277576732 316344432 416365098 555153464 632688864 832730196 1110306928 1179701111 1665460392 2220613856 2359402222 3330920784 3539103333 4718804444 6661841568 7078206666 9437608888 14156413332 18875217776 28312826664 37750435552 56625653328 113251306656