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113391168192 = 2633202932341
BaseRepresentation
bin110100110011010100…
…0111110101011000000
3101211200102111011121000
41221212220332223000
53324211114340232
6124031410132000
711122640012121
oct1514650765300
9354612434530
10113391168192
11440a83a3a55
1219b86581000
13a900c4cac3
1456b9732048
152e39ba827c
hex1a66a3eac0

113391168192 has 112 divisors (see below), whose sum is σ = 333523640800. Its totient is φ = 37777259520.

The previous prime is 113391168169. The next prime is 113391168203. The reversal of 113391168192 is 291861193311.

113391168192 is a `hidden beast` number, since 1 + 13 + 391 + 1 + 68 + 192 = 666.

It is a nude number because it is divisible by every one of its digits.

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, 3489942 + ... + 3522282.

It is an arithmetic number, because the mean of its divisors is an integer number (2977889650).

Almost surely, 2113391168192 is an apocalyptic number.

113391168192 is a gapful number since it is divisible by the number (12) 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 113391168192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166761820400).

113391168192 is an abundant number, since it is smaller than the sum of its proper divisors (220132472608).

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

113391168192 is a wasteful number, since it uses less digits than its factorization.

113391168192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34391 (or 34375 counting only the distinct ones).

The product of its digits is 69984, while the sum is 45.

The spelling of 113391168192 in words is "one hundred thirteen billion, three hundred ninety-one million, one hundred sixty-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 2029 4058 6087 8116 12174 16232 18261 24348 32341 32464 36522 48696 54783 64682 64928 73044 97023 97392 109566 129364 129856 146088 194046 194784 219132 258728 291069 292176 388092 389568 438264 517456 582138 584352 776184 873207 876528 1034912 1164276 1168704 1552368 1746414 1753056 2069824 2328552 3104736 3492828 3506112 4657104 6209472 6985656 9314208 13971312 18628416 27942624 55885248 65619889 131239778 196859667 262479556 393719334 524959112 590579001 787438668 1049918224 1181158002 1574877336 1771737003 2099836448 2362316004 3149754672 3543474006 4199672896 4724632008 6299509344 7086948012 9449264016 12599018688 14173896024 18898528032 28347792048 37797056064 56695584096 113391168192