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113854837005 = 33571343121503
BaseRepresentation
bin110101000001001000…
…1101111000100001101
3101212212201221222122000
41222002101233010031
53331133314241010
6124145412142513
711140300101210
oct1520221570415
9355781858560
10113854837005
11443160a6218
121a095907a39
13a976024250
14572114b777
152e657467c0
hex1a8246f10d

113854837005 has 128 divisors (see below), whose sum is σ = 249707888640. Its totient is φ = 47930538240.

The previous prime is 113854837003. The next prime is 113854837013. The reversal of 113854837005 is 500738458311.

It is a happy number.

113854837005 is a `hidden beast` number, since 1 + 1 + 38 + 548 + 3 + 70 + 0 + 5 = 666.

It is not a de Polignac number, because 113854837005 - 21 = 113854837003 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113854837003) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5284084 + ... + 5305586.

It is an arithmetic number, because the mean of its divisors is an integer number (1950842880).

Almost surely, 2113854837005 is an apocalyptic number.

113854837005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

113854837005 is an abundant number, since it is smaller than the sum of its proper divisors (135853051635).

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

113854837005 is a wasteful number, since it uses less digits than its factorization.

113854837005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21968 (or 21962 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 113854837005 in words is "one hundred thirteen billion, eight hundred fifty-four million, eight hundred thirty-seven thousand, five".

Divisors: 1 3 5 7 9 13 15 21 27 35 39 45 63 65 91 105 117 135 189 195 273 315 351 431 455 585 819 945 1293 1365 1755 2155 2457 3017 3879 4095 5603 6465 9051 11637 12285 15085 16809 19395 21503 27153 28015 39221 45255 50427 58185 64509 81459 84045 107515 117663 135765 150521 151281 193527 196105 252135 279539 322545 352989 407295 451563 580581 588315 752605 756405 838617 967635 1058967 1354689 1397695 1764945 1956773 2257815 2515851 2902905 4064067 4193085 5294835 5870319 6773445 7547553 9267793 9783865 12579255 17610957 20320335 27803379 29351595 37737765 46338965 52832871 64874551 83410137 88054785 120481309 139016895 194623653 250230411 264164355 324372755 361443927 417050685 583870959 602406545 843369163 973118265 1084331781 1251152055 1751612877 1807219635 2530107489 2919354795 3252995343 4216845815 5421658905 7590322467 8758064385 12650537445 16264976715 22770967401 37951612335 113854837005