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12487000896 = 263297223493
BaseRepresentation
bin10111010000100100…
…01000001101000000
31012020020111100222200
423220102020031000
5201033133012041
65423023433200
7621303520266
oct135022101500
935206440880
1012487000896
11532864a657
122505a55800
131240017c36
1486658c436
154d13bc1b6
hex2e8488340

12487000896 has 84 divisors (see below), whose sum is σ = 36160882212. Its totient is φ = 4119404544.

The previous prime is 12487000891. The next prime is 12487000927. The reversal of 12487000896 is 69800078421.

It can be written as a sum of positive squares in 2 ways, for example, as 2566840896 + 9920160000 = 50664^2 + 99600^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12487000891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55875 + ... + 167618.

It is an arithmetic number, because the mean of its divisors is an integer number (430486693).

Almost surely, 212487000896 is an apocalyptic number.

12487000896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12487000896 is an abundant number, since it is smaller than the sum of its proper divisors (23673881316).

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

12487000896 is a wasteful number, since it uses less digits than its factorization.

12487000896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223608 (or 223595 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 12487000896 in words is "twelve billion, four hundred eighty-seven million, eight hundred ninety-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 97 144 192 194 288 291 388 576 582 776 873 1164 1552 1746 2328 3104 3492 4656 6208 6984 9312 13968 18624 27936 55872 223493 446986 670479 893972 1340958 1787944 2011437 2681916 3575888 4022874 5363832 7151776 8045748 10727664 14303552 16091496 21455328 21678821 32182992 42910656 43357642 64365984 65036463 86715284 128731968 130072926 173430568 195109389 260145852 346861136 390218778 520291704 693722272 780437556 1040583408 1387444544 1560875112 2081166816 3121750224 4162333632 6243500448 12487000896