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13187258840 = 23572371151191
BaseRepresentation
bin11000100100000010…
…11001100111011000
31021001001011011022002
430102001121213120
5204001414240330
610020320420132
7644535564530
oct142201314730
937031134262
1013187258840
115657955828
122680477648
131322117852
148d15924c0
15522ae0e45
hex3120599d8

13187258840 has 256 divisors, whose sum is σ = 36309565440. Its totient is φ = 4213440000.

The previous prime is 13187258839. The next prime is 13187258869. The reversal of 13187258840 is 4885278131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69043145 + ... + 69043335.

It is an arithmetic number, because the mean of its divisors is an integer number (141834240).

Almost surely, 213187258840 is an apocalyptic number.

13187258840 is a gapful number since it is divisible by the number (10) 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 13187258840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18154782720).

13187258840 is an abundant number, since it is smaller than the sum of its proper divisors (23122306600).

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

13187258840 is a wasteful number, since it uses less digits than its factorization.

13187258840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 47.

The spelling of 13187258840 in words is "thirteen billion, one hundred eighty-seven million, two hundred fifty-eight thousand, eight hundred forty".