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14100785592 = 2331788139229
BaseRepresentation
bin11010010000111100…
…01110100110111000
31100101201010010102020
431020132032212320
5212334300114332
610251112434440
71006300462035
oct151036164670
940351103366
1014100785592
115a86586a13
1228963a8a20
13143946911a
1497aa3038c
15577de082c
hex34878e9b8

14100785592 has 64 divisors (see below), whose sum is σ = 37368928800. Its totient is φ = 4418641920.

The previous prime is 14100785591. The next prime is 14100785659. The reversal of 14100785592 is 29558700141.

14100785592 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14100785591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 339834 + ... + 379062.

Almost surely, 214100785592 is an apocalyptic number.

14100785592 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 14100785592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18684464400).

14100785592 is an abundant number, since it is smaller than the sum of its proper divisors (23268143208).

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

14100785592 is a wasteful number, since it uses less digits than its factorization.

14100785592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40136 (or 40132 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 42.

The spelling of 14100785592 in words is "fourteen billion, one hundred million, seven hundred eighty-five thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 881 1762 2643 3524 5286 7048 10572 14977 21144 29954 39229 44931 59908 78458 89862 117687 119816 156916 179724 235374 313832 359448 470748 666893 941496 1333786 2000679 2667572 4001358 5335144 8002716 16005432 34560749 69121498 103682247 138242996 207364494 276485992 414728988 587532733 829457976 1175065466 1762598199 2350130932 3525196398 4700261864 7050392796 14100785592