Search a number
-
+
12647269888 = 291131107677
BaseRepresentation
bin10111100011101011…
…00000011000000000
31012122102001212201021
423301311200120000
5201400200114023
65450550515224
7625261006651
oct136165403000
935572055637
1012647269888
115400066070
12254b665b14
1312672a0c66
1487d98b528
154e04c935d
hex2f1d60600

12647269888 has 160 divisors (see below), whose sum is σ = 28764730368. Its totient is φ = 5503180800.

The previous prime is 12647269883. The next prime is 12647269897. The reversal of 12647269888 is 88896274621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12647269883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18681006 + ... + 18681682.

Almost surely, 212647269888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12647269888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14382365184).

12647269888 is an abundant number, since it is smaller than the sum of its proper divisors (16117460480).

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

12647269888 is a wasteful number, since it uses less digits than its factorization.

12647269888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 828 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 61.

The spelling of 12647269888 in words is "twelve billion, six hundred forty-seven million, two hundred sixty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 107 124 128 176 214 248 256 341 352 428 496 512 677 682 704 856 992 1177 1354 1364 1408 1712 1984 2354 2708 2728 2816 3317 3424 3968 4708 5416 5456 5632 6634 6848 7447 7936 9416 10832 10912 13268 13696 14894 15872 18832 20987 21664 21824 26536 27392 29788 36487 37664 41974 43328 43648 53072 54784 59576 72439 72974 75328 83948 86656 87296 106144 119152 144878 145948 150656 167896 173312 174592 212288 230857 238304 289756 291896 301312 335792 346624 424576 461714 476608 579512 583792 602624 671584 796829 849152 923428 953216 1159024 1167584 1343168 1593658 1698304 1846856 1906432 2245609 2318048 2335168 2686336 3187316 3693712 3812864 4491218 4636096 4670336 5372672 6374632 7387424 8982436 9272192 9340672 10745344 12749264 14774848 17964872 18544384 18681344 24701699 25498528 29549696 35929744 37088768 49403398 50997056 59099392 71859488 98806796 101994112 118198784 143718976 197613592 203988224 287437952 395227184 407976448 574875904 790454368 1149751808 1580908736 3161817472 6323634944 12647269888