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12263379552 = 253242581179
BaseRepresentation
bin10110110101111010…
…00101001001100000
31011122122201020011200
423122331011021200
5200103411121202
65344514441200
7612620002104
oct133275051140
934578636150
1012263379552
1152233a3626
122462b93200
1312058b0108
148449bb904
154bb948e1c
hex2daf45260

12263379552 has 36 divisors (see below), whose sum is σ = 34873986420. Its totient is φ = 4087793088.

The previous prime is 12263379547. The next prime is 12263379581. The reversal of 12263379552 is 25597336221.

12263379552 is a `hidden beast` number, since 1 + 2 + 2 + 63 + 37 + 9 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 12263379498 and 12263379507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21290302 + ... + 21290877.

It is an arithmetic number, because the mean of its divisors is an integer number (968721845).

Almost surely, 212263379552 is an apocalyptic number.

12263379552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12263379552 is an abundant number, since it is smaller than the sum of its proper divisors (22610606868).

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

12263379552 is a wasteful number, since it uses less digits than its factorization.

12263379552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42581195 (or 42581184 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The spelling of 12263379552 in words is "twelve billion, two hundred sixty-three million, three hundred seventy-nine thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 42581179 85162358 127743537 170324716 255487074 340649432 383230611 510974148 681298864 766461222 1021948296 1362597728 1532922444 2043896592 3065844888 4087793184 6131689776 12263379552