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113408296920 = 23325557565571
BaseRepresentation
bin110100110011110101…
…0010100011111011000
3101211201121201101210100
41221213222110133120
53324230011000140
6124033221215400
711123235422112
oct1514752243730
9354647641710
10113408296920
1144107033026
1219b90261560
13a904669349
1456bbb103b2
152e3b43d530
hex1a67a947d8

113408296920 has 96 divisors (see below), whose sum is σ = 369239335920. Its totient is φ = 30187864320.

The previous prime is 113408296907. The next prime is 113408296921. The reversal of 113408296920 is 29692804311.

113408296920 is a `hidden beast` number, since 11 + 340 + 8 + 296 + 9 + 2 + 0 = 666.

It is a super-2 number, since 2×1134082969202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113408296921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82266 + ... + 483305.

Almost surely, 2113408296920 is an apocalyptic number.

113408296920 is a gapful number since it is divisible by the number (10) 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 113408296920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184619667960).

113408296920 is an abundant number, since it is smaller than the sum of its proper divisors (255831039000).

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

113408296920 is a wasteful number, since it uses less digits than its factorization.

113408296920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566145 (or 566138 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 113408296920 in words is "one hundred thirteen billion, four hundred eight million, two hundred ninety-six thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 557 1114 1671 2228 2785 3342 4456 5013 5570 6684 8355 10026 11140 13368 16710 20052 22280 25065 33420 40104 50130 66840 100260 200520 565571 1131142 1696713 2262284 2827855 3393426 4524568 5090139 5655710 6786852 8483565 10180278 11311420 13573704 16967130 20360556 22622840 25450695 33934260 40721112 50901390 67868520 101802780 203605560 315023047 630046094 945069141 1260092188 1575115235 1890138282 2520184376 2835207423 3150230470 3780276564 4725345705 5670414846 6300460940 7560553128 9450691410 11340829692 12600921880 14176037115 18901382820 22681659384 28352074230 37802765640 56704148460 113408296920