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12887362752 = 2631117593469
BaseRepresentation
bin11000000000010010…
…11000110011000000
31020021010211212012120
430000021120303000
5202343131102002
65530444524240
7634234530105
oct140011306300
936233755176
1012887362752
115513642420
1225b7b50680
1312a4c55144
148a3808aac
15506602cbc
hex300258cc0

12887362752 has 112 divisors (see below), whose sum is σ = 37229491200. Its totient is φ = 3901916160.

The previous prime is 12887362739. The next prime is 12887362759. The reversal of 12887362752 is 25726378821.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 12887362695 and 12887362704.

It is not an unprimeable number, because it can be changed into a prime (12887362759) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3713274 + ... + 3716742.

Almost surely, 212887362752 is an apocalyptic number.

12887362752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12887362752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18614745600).

12887362752 is an abundant number, since it is smaller than the sum of its proper divisors (24342128448).

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

12887362752 is a wasteful number, since it uses less digits than its factorization.

12887362752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5254 (or 5244 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 51.

The spelling of 12887362752 in words is "twelve billion, eight hundred eighty-seven million, three hundred sixty-two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 1759 2112 3469 3518 5277 6938 7036 10407 10554 13876 14072 19349 20814 21108 27752 28144 38159 38698 41628 42216 55504 56288 58047 76318 77396 83256 84432 111008 112576 114477 116094 152636 154792 166512 168864 222016 228954 232188 305272 309584 333024 337728 457908 464376 610544 619168 666048 915816 928752 1221088 1238336 1831632 1857504 2442176 3663264 3715008 6101971 7326528 12203942 18305913 24407884 36611826 48815768 67121681 73223652 97631536 134243362 146447304 195263072 201365043 268486724 292894608 390526144 402730086 536973448 585789216 805460172 1073946896 1171578432 1610920344 2147893792 3221840688 4295787584 6443681376 12887362752