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13249741396320 = 253251113113569417
BaseRepresentation
bin1100000011001111001000…
…1000010001100101100000
31201220122220020222221211200
43000303302020101211200
53214040432244140240
644102502553241200
72535155641423512
oct300636210214540
951818806887750
1013249741396320
1142492026641a0
12159ba7b703200
137515a32b1780
1433b41035bbb2
1517e9c991c930
hexc0cf2211960

13249741396320 has 576 divisors, whose sum is σ = 53589595235904. Its totient is φ = 2938733199360.

The previous prime is 13249741396277. The next prime is 13249741396337. The reversal of 13249741396320 is 2369314794231.

13249741396320 is a `hidden beast` number, since 1 + 3 + 2 + 497 + 41 + 3 + 96 + 3 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22984252 + ... + 23553668.

It is an arithmetic number, because the mean of its divisors is an integer number (93037491729).

Almost surely, 213249741396320 is an apocalyptic number.

13249741396320 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 13249741396320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26794797617952).

13249741396320 is an abundant number, since it is smaller than the sum of its proper divisors (40339853839584).

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

13249741396320 is a wasteful number, since it uses less digits than its factorization.

13249741396320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569575 (or 569564 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 13249741396320 in words is "thirteen trillion, two hundred forty-nine billion, seven hundred forty-one million, three hundred ninety-six thousand, three hundred twenty".