Search a number
-
+
13345313256 = 23321131543553
BaseRepresentation
bin11000110110111000…
…10101000111101000
31021110001120011012100
430123130111013220
5204312400011011
610044124213400
7651465201552
oct143334250750
937401504170
1013345313256
115729099410
12270539a260
131348aa6882
149085764d2
15531911d56
hex31b7151e8

13345313256 has 96 divisors (see below), whose sum is σ = 40701323520. Its totient is φ = 3913574400.

The previous prime is 13345313249. The next prime is 13345313297. The reversal of 13345313256 is 65231354331.

13345313256 is a `hidden beast` number, since 1 + 334 + 5 + 313 + 2 + 5 + 6 = 666.

13345313256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 13345313256.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 247225 + ... + 296328.

It is an arithmetic number, because the mean of its divisors is an integer number (423972120).

Almost surely, 213345313256 is an apocalyptic number.

It is an amenable number.

13345313256 is an abundant number, since it is smaller than the sum of its proper divisors (27356010264).

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

13345313256 is a wasteful number, since it uses less digits than its factorization.

13345313256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543607 (or 543600 counting only the distinct ones).

The product of its digits is 97200, while the sum is 36.

Adding to 13345313256 its reverse (65231354331), we get a palindrome (78576667587).

The spelling of 13345313256 in words is "thirteen billion, three hundred forty-five million, three hundred thirteen thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 31 33 36 44 62 66 72 88 93 99 124 132 186 198 248 264 279 341 372 396 558 682 744 792 1023 1116 1364 2046 2232 2728 3069 4092 6138 8184 12276 24552 543553 1087106 1630659 2174212 3261318 4348424 4891977 5979083 6522636 9783954 11958166 13045272 16850143 17937249 19567908 23916332 33700286 35874498 39135816 47832664 50550429 53811747 67400572 71748996 101100858 107623494 134801144 143497992 151651287 185351573 202201716 215246988 303302574 370703146 404403432 430493976 556054719 606605148 741406292 1112109438 1213210296 1482812584 1668164157 2224218876 3336328314 4448437752 6672656628 13345313256