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13432740256 = 251332290241
BaseRepresentation
bin11001000001010011…
…10101100110100000
31021200011001220111101
430200221311212200
5210002240142011
610100530124144
7653606260015
oct144051654640
937604056441
1013432740256
115773482631
12272a720654
131360c37620
1491601370c
155394312c1
hex320a759a0

13432740256 has 24 divisors (see below), whose sum is σ = 28479993444. Its totient is φ = 6199726080.

The previous prime is 13432740227. The next prime is 13432740257. The reversal of 13432740256 is 65204723431.

It can be written as a sum of positive squares in 2 ways, for example, as 9738531856 + 3694208400 = 98684^2 + 60780^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (13432740257) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16144705 + ... + 16145536.

Almost surely, 213432740256 is an apocalyptic number.

13432740256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13432740256 is an abundant number, since it is smaller than the sum of its proper divisors (15047253188).

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

13432740256 is a wasteful number, since it uses less digits than its factorization.

13432740256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32290264 (or 32290256 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 37.

The spelling of 13432740256 in words is "thirteen billion, four hundred thirty-two million, seven hundred forty thousand, two hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 32290241 64580482 129160964 258321928 419773133 516643856 839546266 1033287712 1679092532 3358185064 6716370128 13432740256