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13147295840 = 255723761743
BaseRepresentation
bin11000011111010001…
…11101000001100000
31020221020221211100222
430033220331001200
5203411201431330
610012332102212
7643542112400
oct141750750140
936836854328
1013147295840
11563733aa58
12266b004968
131316a64ac3
148ca14c800
1551e34a0e5
hex30fa3d060

13147295840 has 288 divisors, whose sum is σ = 37767207744. Its totient is φ = 4308111360.

The previous prime is 13147295813. The next prime is 13147295929. The reversal of 13147295840 is 4859274131.

It is a junction number, because it is equal to n+sod(n) for n = 13147295791 and 13147295800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17694509 + ... + 17695251.

It is an arithmetic number, because the mean of its divisors is an integer number (131136138).

Almost surely, 213147295840 is an apocalyptic number.

13147295840 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 13147295840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18883603872).

13147295840 is an abundant number, since it is smaller than the sum of its proper divisors (24619911904).

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

13147295840 is a wasteful number, since it uses less digits than its factorization.

13147295840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 44.

The spelling of 13147295840 in words is "thirteen billion, one hundred forty-seven million, two hundred ninety-five thousand, eight hundred forty".