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13043713760 = 2557311173141
BaseRepresentation
bin11000010010111011…
…10100011011100000
31020200001001022110122
430021131310123200
5203203142320020
65554152015412
7641143511000
oct141135643340
936601038418
1013043713760
115593922230
122640391568
1312cb468a2c
148ba4a8000
155151d9125
hex3097746e0

13043713760 has 768 divisors, whose sum is σ = 43893964800. Its totient is φ = 3612672000.

The previous prime is 13043713751. The next prime is 13043713789. The reversal of 13043713760 is 6731734031.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 13043713760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 318139340 + ... + 318139380.

It is an arithmetic number, because the mean of its divisors is an integer number (57153600).

Almost surely, 213043713760 is an apocalyptic number.

13043713760 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 13043713760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21946982400).

13043713760 is an abundant number, since it is smaller than the sum of its proper divisors (30850251040).

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

13043713760 is a wasteful number, since it uses less digits than its factorization.

13043713760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 35.

The spelling of 13043713760 in words is "thirteen billion, forty-three million, seven hundred thirteen thousand, seven hundred sixty".