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12041084266464 = 2531111402541919
BaseRepresentation
bin1010111100111000100010…
…0011001110011111100000
31120122010010212101002021010
42233032020203032133200
53034240120033011324
641335333040300520
72351640202350021
oct257161043163740
946563125332233
1012041084266464
113922660181330
121425786911740
136946142a4626
142d8b12190c48
1515d339bd1829
hexaf3888ce7e0

12041084266464 has 48 divisors (see below), whose sum is σ = 34481286766080. Its totient is φ = 3648813413760.

The previous prime is 12041084266451. The next prime is 12041084266481. The reversal of 12041084266464 is 46466248014021.

12041084266464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 5701269904 + ... + 5701272015.

It is an arithmetic number, because the mean of its divisors is an integer number (718360140960).

Almost surely, 212041084266464 is an apocalyptic number.

It is an amenable number.

12041084266464 is an abundant number, since it is smaller than the sum of its proper divisors (22440202499616).

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

12041084266464 is a wasteful number, since it uses less digits than its factorization.

12041084266464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11402541943 (or 11402541935 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 48.

The spelling of 12041084266464 in words is "twelve trillion, forty-one billion, eighty-four million, two hundred sixty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 11402541919 22805083838 34207625757 45610167676 68415251514 91220335352 125427961109 136830503028 182440670704 250855922218 273661006056 364881341408 376283883327 501711844436 547322012112 752567766654 1003423688872 1094644024224 1505135533308 2006847377744 3010271066616 4013694755488 6020542133232 12041084266464