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5719393680 = 243572111319179
BaseRepresentation
bin1010101001110011…
…10000010110010000
3112202121001022011120
411110321300112100
543203131044210
62343310242240
7261506021100
oct52471602620
915677038146
105719393680
1124754a3140
1211374b6380
13701bcb420
143c3847200
152371aa270
hex154e70590

5719393680 has 960 divisors, whose sum is σ = 25648358400. Its totient is φ = 1033482240.

The previous prime is 5719393649. The next prime is 5719393681. The reversal of 5719393680 is 863939175.

It is a super-2 number, since 2×57193936802 = 65422928133647884800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5719393681) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31951831 + ... + 31952009.

It is an arithmetic number, because the mean of its divisors is an integer number (26717040).

Almost surely, 25719393680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5719393680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12824179200).

5719393680 is an abundant number, since it is smaller than the sum of its proper divisors (19928964720).

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

5719393680 is a wasteful number, since it uses less digits than its factorization.

5719393680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 51.

The square root of 5719393680 is about 75626.6730724022. The cubic root of 5719393680 is about 1788.3396148829.

The spelling of 5719393680 in words is "five billion, seven hundred nineteen million, three hundred ninety-three thousand, six hundred eighty".