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113806954755 = 325136719914591
BaseRepresentation
bin110100111111101101…
…1000101000100000011
3101212202101212022112100
41221333123011010003
53331034040023010
6124140542001443
711136146103624
oct1517733050403
9355671768470
10113806954755
11442a107160a
121a081876283
13a96912aa60
145718a45a4b
152e614392c0
hex1a7f6c5103

113806954755 has 96 divisors (see below), whose sum is σ = 216708710400. Its totient is φ = 54910690560.

The previous prime is 113806954727. The next prime is 113806954769. The reversal of 113806954755 is 557459608311.

113806954755 is a `hidden beast` number, since 1 + 1 + 3 + 80 + 6 + 95 + 475 + 5 = 666.

It is not a de Polignac number, because 113806954755 - 216 = 113806889219 is a prime.

It is a super-2 number, since 2×1138069547552 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7792510 + ... + 7807100.

It is an arithmetic number, because the mean of its divisors is an integer number (2257382400).

Almost surely, 2113806954755 is an apocalyptic number.

113806954755 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

113806954755 is a deficient number, since it is larger than the sum of its proper divisors (102901755645).

113806954755 is a wasteful number, since it uses less digits than its factorization.

113806954755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14881 (or 14878 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 113806954755 in words is "one hundred thirteen billion, eight hundred six million, nine hundred fifty-four thousand, seven hundred fifty-five".

Divisors: 1 3 5 9 13 15 39 45 65 67 117 195 199 201 335 585 597 603 871 995 1005 1791 2587 2613 2985 3015 4355 7761 7839 8955 12935 13065 13333 14591 23283 38805 39195 39999 43773 66665 72955 116415 119997 131319 173329 189683 199995 218865 519987 569049 599985 656595 866645 948415 977597 1559961 1707147 2599935 2845245 2903609 2932791 4887985 7799805 8535735 8710827 8798373 12708761 14518045 14663955 26132481 37746917 38126283 43554135 43991865 63543805 113240751 114378849 130662405 188734585 190631415 194541803 339722253 566203755 571894245 583625409 972709015 1698611265 1750876227 2529043439 2918127045 7587130317 8754381135 12645217195 22761390951 37935651585 113806954755