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13139140608 = 213321117953
BaseRepresentation
bin11000011110010011…
…10110000000000000
31020220200121111111100
430033021312000000
5203402104444413
610011441214400
7643412565246
oct141711660000
936820544440
1013139140608
11563277a8a0
122668331400
13131516ab19
148c9028796
1551d788a73
hex30f276000

13139140608 has 336 divisors, whose sum is σ = 43887304656. Its totient is φ = 3743416320.

The previous prime is 13139140603. The next prime is 13139140621. The reversal of 13139140608 is 80604193131.

13139140608 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 9 + 1 + 40 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13139140603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13786660 + ... + 13787612.

Almost surely, 213139140608 is an apocalyptic number.

13139140608 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 13139140608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21943652328).

13139140608 is an abundant number, since it is smaller than the sum of its proper divisors (30748164048).

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

13139140608 is a wasteful number, since it uses less digits than its factorization.

13139140608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 13139140608 in words is "thirteen billion, one hundred thirty-nine million, one hundred forty thousand, six hundred eight".