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13222615456 = 254110078213
BaseRepresentation
bin11000101000010000…
…10001100110100000
31021010111200110110101
430110020101212200
5204034442143311
610024022312144
7645445243201
oct142410214640
937114613411
1013222615456
115675904776
122690288654
131329546a1b
148d61575a8
15525c76ec1
hex3142119a0

13222615456 has 24 divisors (see below), whose sum is σ = 26666954244. Its totient is φ = 6450055680.

The previous prime is 13222615447. The next prime is 13222615481. The reversal of 13222615456 is 65451622231.

It can be written as a sum of positive squares in 2 ways, for example, as 12081527056 + 1141088400 = 109916^2 + 33780^2 .

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5037795 + ... + 5040418.

Almost surely, 213222615456 is an apocalyptic number.

13222615456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13222615456 is an abundant number, since it is smaller than the sum of its proper divisors (13444338788).

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

13222615456 is a wasteful number, since it uses less digits than its factorization.

13222615456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10078264 (or 10078256 counting only the distinct ones).

The product of its digits is 86400, while the sum is 37.

The spelling of 13222615456 in words is "thirteen billion, two hundred twenty-two million, six hundred fifteen thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 1312 10078213 20156426 40312852 80625704 161251408 322502816 413206733 826413466 1652826932 3305653864 6611307728 13222615456