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12291585054 = 2371434120407
BaseRepresentation
bin10110111001010001…
…01011010000011110
31011201121210012211220
423130220223100132
5200133121210204
65351403154210
7613411514640
oct133450532036
934647705756
1012291585054
115238308861
122470515966
13120b6a7368
14848640890
154be16b1d9
hex2dca2b41e

12291585054 has 32 divisors (see below), whose sum is σ = 28098387456. Its totient is φ = 3511464480.

The previous prime is 12291585001. The next prime is 12291585071. The reversal of 12291585054 is 45058519221.

12291585054 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 12291584997 and 12291585015.

It is a congruent number.

It is an unprimeable number.

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, 592119 + ... + 612525.

It is an arithmetic number, because the mean of its divisors is an integer number (878074608).

Almost surely, 212291585054 is an apocalyptic number.

12291585054 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12291585054 is an abundant number, since it is smaller than the sum of its proper divisors (15806802402).

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

12291585054 is a wasteful number, since it uses less digits than its factorization.

12291585054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34760.

The product of its (nonzero) digits is 144000, while the sum is 42.

The spelling of 12291585054 in words is "twelve billion, two hundred ninety-one million, five hundred eighty-five thousand, fifty-four".

Divisors: 1 2 3 6 7 14 21 42 14341 20407 28682 40814 43023 61221 86046 100387 122442 142849 200774 285698 301161 428547 602322 857094 292656787 585313574 877970361 1755940722 2048597509 4097195018 6145792527 12291585054