Search a number
-
+
13428032256 = 2835215857
BaseRepresentation
bin11001000000101111…
…11000001100000000
31021122211012201100000
430200113320030000
5210000034013011
610100241200000
7653521251042
oct144027701400
937584181300
1013428032256
115770857421
122729030000
13135cc79722
14915549a92
15538d01356
hex3205f8300

13428032256 has 108 divisors (see below), whose sum is σ = 40150451432. Its totient is φ = 4475990016.

The previous prime is 13428032239. The next prime is 13428032257. The reversal of 13428032256 is 65223082431.

13428032256 is a `hidden beast` number, since 1 + 3 + 4 + 280 + 322 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13428032256.

It is not an unprimeable number, because it can be changed into a prime (13428032257) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45721 + ... + 170136.

Almost surely, 213428032256 is an apocalyptic number.

13428032256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13428032256 is an abundant number, since it is smaller than the sum of its proper divisors (26722419176).

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

13428032256 is an frugal number, since it uses more digits than its factorization.

13428032256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215888 (or 215862 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 13428032256 in words is "thirteen billion, four hundred twenty-eight million, thirty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 576 648 768 864 972 1152 1296 1728 1944 2304 2592 3456 3888 5184 6912 7776 10368 15552 20736 31104 62208 215857 431714 647571 863428 1295142 1726856 1942713 2590284 3453712 3885426 5180568 5828139 6907424 7770852 10361136 11656278 13814848 15541704 17484417 20722272 23312556 27629696 31083408 34968834 41444544 46625112 52453251 55259392 62166816 69937668 82889088 93250224 104906502 124333632 139875336 165778176 186500448 209813004 248667264 279750672 373000896 419626008 497334528 559501344 746001792 839252016 1119002688 1492003584 1678504032 2238005376 3357008064 4476010752 6714016128 13428032256