Search a number
-
+
12870991936 = 2611831671319
BaseRepresentation
bin10111111110010101…
…11100000001000000
31020020000001010200001
423333022330001000
5202324433220221
65525102005344
7633645424555
oct137712740100
936200033601
1012870991936
115505380820
1225b2576854
1312a174287a
148a1586a2c
15504e6c391
hex2ff2bc040

12870991936 has 112 divisors (see below), whose sum is σ = 28388828160. Its totient is φ = 5740997120.

The previous prime is 12870991891. The next prime is 12870991949. The reversal of 12870991936 is 63919907821.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9757485 + ... + 9758803.

It is an arithmetic number, because the mean of its divisors is an integer number (253471680).

Almost surely, 212870991936 is an apocalyptic number.

12870991936 is a gapful number since it is divisible by the number (16) 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 12870991936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14194414080).

12870991936 is an abundant number, since it is smaller than the sum of its proper divisors (15517836224).

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

12870991936 is a wasteful number, since it uses less digits than its factorization.

12870991936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1592 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 55.

The spelling of 12870991936 in words is "twelve billion, eight hundred seventy million, nine hundred ninety-one thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 83 88 166 167 176 332 334 352 664 668 704 913 1319 1328 1336 1826 1837 2638 2656 2672 3652 3674 5276 5312 5344 7304 7348 10552 10688 13861 14509 14608 14696 21104 27722 29018 29216 29392 42208 55444 58036 58432 58784 84416 109477 110888 116072 117568 152471 218954 220273 221776 232144 304942 437908 440546 443552 464288 609884 875816 881092 887104 928576 1204247 1219768 1751632 1762184 2408494 2423003 2439536 3503264 3524368 4816988 4846006 4879072 7006528 7048736 9633976 9692012 9758144 14097472 18282659 19267952 19384024 36565318 38535904 38768048 73130636 77071808 77536096 146261272 155072192 201109249 292522544 402218498 585045088 804436996 1170090176 1608873992 3217747984 6435495968 12870991936