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12262014035264 = 267160731702891
BaseRepresentation
bin1011001001101111100011…
…1111011010010101000000
31121102020101211201012000202
42302123320333122111000
53101400101043112024
642025031432104332
72403621065403110
oct262337077322500
947366354635022
1012262014035264
1139a8322286614
1214605638350a8
136ac3c27b8786
143056adc23040
15163e6a82dbae
hexb26f8fda540

12262014035264 has 56 divisors (see below), whose sum is σ = 27810242584128. Its totient is φ = 5254818831360.

The previous prime is 12262014035263. The next prime is 12262014035279. The reversal of 12262014035264 is 46253041026221.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×122620140352642 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12262014035263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6349259 + ... + 8052149.

Almost surely, 212262014035264 is an apocalyptic number.

12262014035264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12262014035264 is an abundant number, since it is smaller than the sum of its proper divisors (15548228548864).

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

12262014035264 is a wasteful number, since it uses less digits than its factorization.

12262014035264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1718983 (or 1718973 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

The spelling of 12262014035264 in words is "twelve trillion, two hundred sixty-two billion, fourteen million, thirty-five thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 16073 32146 64292 112511 128584 225022 257168 450044 514336 900088 1028672 1702891 1800176 3405782 3600352 6811564 7200704 11920237 13623128 23840474 27246256 47680948 54492512 95361896 108985024 190723792 381447584 762895168 27370567043 54741134086 109482268172 191593969301 218964536344 383187938602 437929072688 766375877204 875858145376 1532751754408 1751716290752 3065503508816 6131007017632 12262014035264