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13149816372 = 2234711677867
BaseRepresentation
bin11000011111100101…
…00100011000110100
31020221102200212220000
430033302210120310
5203412323110442
610012502111300
7643602411030
oct141762443064
936842625800
1013149816372
115638801740
12266ba1b530
131317438144
148ca6071c0
1551e696d4c
hex30fca4634

13149816372 has 240 divisors, whose sum is σ = 43503871488. Its totient is φ = 3364130880.

The previous prime is 13149816371. The next prime is 13149816373. The reversal of 13149816372 is 27361894131.

13149816372 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 9 + 8 + 1 + 637 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (13149816371) and next prime (13149816373).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13149816371) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1667583 + ... + 1675449.

Almost surely, 213149816372 is an apocalyptic number.

13149816372 is a gapful number since it is divisible by the number (12) 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 13149816372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21751935744).

13149816372 is an abundant number, since it is smaller than the sum of its proper divisors (30354055116).

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

13149816372 is a wasteful number, since it uses less digits than its factorization.

13149816372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7968 (or 7957 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The spelling of 13149816372 in words is "thirteen billion, one hundred forty-nine million, eight hundred sixteen thousand, three hundred seventy-two".