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13064426496 = 21036113743
BaseRepresentation
bin11000010101011001…
…10101010000000000
31020201111000122000000
430022230311100000
5203223443121441
610000212000000
7641514535662
oct141254652000
936644018000
1013064426496
1155a4589aa0
122647300000
13130283b6a4
148bd13a532
15516e2b2b6
hex30ab35400

13064426496 has 616 divisors, whose sum is σ = 44890611744. Its totient is φ = 3762339840.

The previous prime is 13064426491. The next prime is 13064426513. The reversal of 13064426496 is 69462446031.

13064426496 is a `hidden beast` number, since 130 + 6 + 4 + 4 + 26 + 496 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13064426491) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 303823851 + ... + 303823893.

Almost surely, 213064426496 is an apocalyptic number.

13064426496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13064426496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22445305872).

13064426496 is an abundant number, since it is smaller than the sum of its proper divisors (31826185248).

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

13064426496 is an equidigital number, since it uses as much as digits as its factorization.

13064426496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 13064426496 in words is "thirteen billion, sixty-four million, four hundred twenty-six thousand, four hundred ninety-six".