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113383535994 = 23319672337079
BaseRepresentation
bin110100110011000101…
…1110111010101111010
3101211122220010102012000
41221212023313111322
53324202141122434
6124030534401430
711122515103611
oct1514613672572
9354586112160
10113383535994
11440a4060853
1219b83b00276
13a8cc4a9c01
1456b8706878
152e3919bb99
hex1a662f757a

113383535994 has 128 divisors (see below), whose sum is σ = 270376704000. Its totient is φ = 35114580864.

The previous prime is 113383535983. The next prime is 113383535999. The reversal of 113383535994 is 499535383311.

113383535994 is a `hidden beast` number, since 1 + 13 + 3 + 8 + 3 + 535 + 9 + 94 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 113383535994.

It is not an unprimeable number, because it can be changed into a prime (113383535999) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16013347 + ... + 16020425.

It is an arithmetic number, because the mean of its divisors is an integer number (2112318000).

Almost surely, 2113383535994 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113383535994, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135188352000).

113383535994 is an abundant number, since it is smaller than the sum of its proper divisors (156993168006).

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

113383535994 is a wasteful number, since it uses less digits than its factorization.

113383535994 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7409 (or 7403 counting only the distinct ones).

The product of its digits is 5248800, while the sum is 54.

The spelling of 113383535994 in words is "one hundred thirteen billion, three hundred eighty-three million, five hundred thirty-five thousand, nine hundred ninety-four".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 67 114 134 171 201 233 342 402 466 513 603 699 1026 1206 1273 1398 1809 2097 2546 3618 3819 4194 4427 6291 7079 7638 8854 11457 12582 13281 14158 15611 21237 22914 26562 31222 34371 39843 42474 46833 63711 68742 79686 93666 119529 127422 134501 140499 191133 239058 269002 280998 296609 382266 403503 421497 474293 593218 807006 842994 889827 948586 1210509 1422879 1649407 1779654 2421018 2669481 2845758 3298814 3631527 4268637 4948221 5338962 7263054 8008443 8537274 9011567 9896442 12805911 14844663 16016886 18023134 25611822 27034701 29689326 31338733 44533989 54069402 62677466 81104103 89067978 94016199 110510269 162208206 188032398 221020538 243312309 282048597 331530807 486624618 564097194 663061614 846145791 994592421 1692291582 1989184842 2099695111 2983777263 4199390222 5967554526 6299085333 12598170666 18897255999 37794511998 56691767997 113383535994