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13196028456 = 233213172928597
BaseRepresentation
bin11000100101000101…
…10110101000101000
31021001122122200221200
430102202312220220
5204011140402311
610021232404200
7645003251112
oct142242665050
937048580850
1013196028456
1156618a5546
1226833a6660
131323b98380
148d27d63b2
15523774556
hex3128b6a28

13196028456 has 192 divisors, whose sum is σ = 42159171600. Its totient is φ = 3689570304.

The previous prime is 13196028431. The next prime is 13196028481. The reversal of 13196028456 is 65482069131.

13196028456 is a `hidden beast` number, since 1 + 3 + 196 + 0 + 2 + 8 + 456 = 666.

It is an interprime number because it is at equal distance from previous prime (13196028431) and next prime (13196028481).

It can be written as a sum of positive squares in 8 ways, for example, as 10557562500 + 2638465956 = 102750^2 + 51366^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 447150 + ... + 475746.

Almost surely, 213196028456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13196028456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21079585800).

13196028456 is an abundant number, since it is smaller than the sum of its proper divisors (28963143144).

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

13196028456 is a wasteful number, since it uses less digits than its factorization.

13196028456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28668 (or 28661 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 13196028456 in words is "thirteen billion, one hundred ninety-six million, twenty-eight thousand, four hundred fifty-six".