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12357010944 = 2933893881
BaseRepresentation
bin10111000001000100…
…10000011000000000
31011220011220012022000
423200202100120000
5200301343322234
65402101344000
7615134600655
oct134042203000
934804805260
1012357010944
115271235243
12248a408000
13121c103bc5
148531d1c2c
154c4c91899
hex2e0890600

12357010944 has 80 divisors (see below), whose sum is σ = 36577651440. Its totient is φ = 4118999040.

The previous prime is 12357010937. The next prime is 12357010961. The reversal of 12357010944 is 44901075321.

It is a super-2 number, since 2×123570109442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12357010899 and 12357010908.

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, 433117 + ... + 460764.

It is an arithmetic number, because the mean of its divisors is an integer number (457220643).

Almost surely, 212357010944 is an apocalyptic number.

It is an amenable number.

12357010944 is an abundant number, since it is smaller than the sum of its proper divisors (24220640496).

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

12357010944 is an frugal number, since it uses more digits than its factorization.

12357010944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893908 (or 893886 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 12357010944 in words is "twelve billion, three hundred fifty-seven million, ten thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1728 2304 3456 4608 6912 13824 893881 1787762 2681643 3575524 5363286 7151048 8044929 10726572 14302096 16089858 21453144 24134787 28604192 32179716 42906288 48269574 57208384 64359432 85812576 96539148 114416768 128718864 171625152 193078296 228833536 257437728 343250304 386156592 457667072 514875456 686500608 772313184 1029750912 1373001216 1544626368 2059501824 3089252736 4119003648 6178505472 12357010944