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13439951568 = 2434191075101
BaseRepresentation
bin11001000010001010…
…10110001011010000
31021200122122021120000
430201011112023100
5210011111422233
610101344450000
7654024463161
oct144105261320
937618567500
1013439951568
11577755859a
122731019900
131362590a84
14916d6d768
15539da7d13
hex3211562d0

13439951568 has 200 divisors, whose sum is σ = 41337220320. Its totient is φ = 4203705600.

The previous prime is 13439951563. The next prime is 13439951597. The reversal of 13439951568 is 86515993431.

13439951568 is a `hidden beast` number, since 1 + 34 + 3 + 99 + 515 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13439951563) 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 39 ways as a sum of consecutive naturals, for example, 2632218 + ... + 2637318.

Almost surely, 213439951568 is an apocalyptic number.

13439951568 is a gapful number since it is divisible by the number (18) 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 13439951568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20668610160).

13439951568 is an abundant number, since it is smaller than the sum of its proper divisors (27897268752).

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

13439951568 is a wasteful number, since it uses less digits than its factorization.

13439951568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5247 (or 5232 counting only the distinct ones).

The product of its digits is 3499200, while the sum is 54.

The spelling of 13439951568 in words is "thirteen billion, four hundred thirty-nine million, nine hundred fifty-one thousand, five hundred sixty-eight".