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11256678864 = 24348685709
BaseRepresentation
bin10100111101111001…
…10100100111010000
31002001111102112110000
422132330310213100
5141023202210424
65100553410000
7545644122504
oct123674644720
932044375400
1011256678864
114857113492
122221a09900
1310a5168032
1478b008304
1545d3923c9
hex29ef349d0

11256678864 has 50 divisors (see below), whose sum is σ = 32580098210. Its totient is φ = 3752225856.

The previous prime is 11256678833. The next prime is 11256678893. The reversal of 11256678864 is 46887665211.

11256678864 is a `hidden beast` number, since 1 + 1 + 2 + 566 + 78 + 8 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11255512464 + 1166400 = 106092^2 + 1080^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 11256678864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4341559 + ... + 4344150.

Almost surely, 211256678864 is an apocalyptic number.

It is an amenable number.

11256678864 is an abundant number, since it is smaller than the sum of its proper divisors (21323419346).

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

11256678864 is an equidigital number, since it uses as much as digits as its factorization.

11256678864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8685729 (or 8685714 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 11256678864 in words is "eleven billion, two hundred fifty-six million, six hundred seventy-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 8685709 17371418 26057127 34742836 52114254 69485672 78171381 104228508 138971344 156342762 208457016 234514143 312685524 416914032 469028286 625371048 703542429 938056572 1250742096 1407084858 1876113144 2814169716 3752226288 5628339432 11256678864