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10247872768 = 2875718679
BaseRepresentation
bin10011000101101001…
…00010000100000000
3222110012011212122021
421202310202010000
5131441423412033
64412515251224
7511644324040
oct114264420400
928405155567
1010247872768
114389725541
121b9bba9b14
13c74166853
146d3047720
153eea21b2d
hex262d22100

10247872768 has 36 divisors (see below), whose sum is σ = 23377963840. Its totient is φ = 4391944704.

The previous prime is 10247872763. The next prime is 10247872841. The reversal of 10247872768 is 86727874201.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10247872763) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2857548 + ... + 2861131.

Almost surely, 210247872768 is an apocalyptic number.

It is an amenable number.

10247872768 is an abundant number, since it is smaller than the sum of its proper divisors (13130091072).

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

10247872768 is an frugal number, since it uses more digits than its factorization.

10247872768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5718702 (or 5718688 counting only the distinct ones).

The product of its (nonzero) digits is 2107392, while the sum is 52.

The spelling of 10247872768 in words is "ten billion, two hundred forty-seven million, eight hundred seventy-two thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 896 1792 5718679 11437358 22874716 40030753 45749432 80061506 91498864 160123012 182997728 320246024 365995456 640492048 731990912 1280984096 1463981824 2561968192 5123936384 10247872768