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14083668192 = 2531121212437
BaseRepresentation
bin11010001110111001…
…11011100011100000
31100100111220110202110
431013130323203200
5212320404340232
610245301515320
71006002130056
oct150734734340
940314813673
1014083668192
115a77955400
122890712b40
131435a54a99
149786561d6
1557665dacc
hex34773b8e0

14083668192 has 72 divisors (see below), whose sum is σ = 40636072008. Its totient is φ = 4267774720.

The previous prime is 14083668163. The next prime is 14083668283. The reversal of 14083668192 is 29186638041.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 594603 + ... + 617834.

It is an arithmetic number, because the mean of its divisors is an integer number (564389889).

Almost surely, 214083668192 is an apocalyptic number.

14083668192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14083668192 is an abundant number, since it is smaller than the sum of its proper divisors (26552403816).

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

14083668192 is a wasteful number, since it uses less digits than its factorization.

14083668192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212472 (or 1212453 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 14083668192 in words is "fourteen billion, eighty-three million, six hundred sixty-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 176 242 264 352 363 484 528 726 968 1056 1452 1936 2904 3872 5808 11616 1212437 2424874 3637311 4849748 7274622 9699496 13336807 14549244 19398992 26673614 29098488 38797984 40010421 53347228 58196976 80020842 106694456 116393952 146704877 160041684 213388912 293409754 320083368 426777824 440114631 586819508 640166736 880229262 1173639016 1280333472 1760458524 2347278032 3520917048 4694556064 7041834096 14083668192