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13004651264 = 28114618129
BaseRepresentation
bin11000001110010001…
…10011101100000000
31020120022112201210112
430013020303230000
5203113142320024
65550234450452
7640160466113
oct140710635400
936508481715
1013004651264
115573871a80
12262b293a28
1312c333cb27
148b521a57a
15511a7000e
hex307233b00

13004651264 has 36 divisors (see below), whose sum is σ = 28318373160. Its totient is φ = 5911203840.

The previous prime is 13004651201. The next prime is 13004651269. The reversal of 13004651264 is 46215640031.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 13004651264.

It is not an unprimeable number, because it can be changed into a prime (13004651269) 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 3 ways as a sum of consecutive naturals, for example, 2306249 + ... + 2311880.

Almost surely, 213004651264 is an apocalyptic number.

It is an amenable number.

13004651264 is an abundant number, since it is smaller than the sum of its proper divisors (15313721896).

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

13004651264 is an equidigital number, since it uses as much as digits as its factorization.

13004651264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4618156 (or 4618142 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

It can be divided in two parts, 1300 and 4651264, that added together give a palindrome (4652564).

The spelling of 13004651264 in words is "thirteen billion, four million, six hundred fifty-one thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 704 1408 2816 4618129 9236258 18472516 36945032 50799419 73890064 101598838 147780128 203197676 295560256 406395352 591120512 812790704 1182241024 1625581408 3251162816 6502325632 13004651264