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5713763328 = 21034713757
BaseRepresentation
bin1010101001001000…
…10001110000000000
3112202012110020210000
411110210101300000
543200210411303
62342545440000
7261410121060
oct52444216000
915665406700
105713763328
1124722a7a59
121135640000
137009a9760
143c2bbd3a0
15236946da3
hex154911c00

5713763328 has 440 divisors, whose sum is σ = 21027635552. Its totient is φ = 1504935936.

The previous prime is 5713763303. The next prime is 5713763333. The reversal of 5713763328 is 8233673175.

5713763328 is a `hidden beast` number, since 5 + 7 + 1 + 3 + 7 + 633 + 2 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7547526 + ... + 7548282.

Almost surely, 25713763328 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 5713763328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10513817776).

5713763328 is an abundant number, since it is smaller than the sum of its proper divisors (15313872224).

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

5713763328 is a wasteful number, since it uses less digits than its factorization.

5713763328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 782 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The square root of 5713763328 is about 75589.4392623732. The cubic root of 5713763328 is about 1787.7525895224.

The spelling of 5713763328 in words is "five billion, seven hundred thirteen million, seven hundred sixty-three thousand, three hundred twenty-eight".