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5713597440 = 21034523599
BaseRepresentation
bin1010101001000111…
…01001010000000000
3112202012010211020000
411110203221100000
543200140104230
62342542120000
7261405530325
oct52443512000
915665124200
105713597440
1124721a4361
121135580000
1370094c0b5
143c2b78b4c
15236912b60
hex1548e9400

5713597440 has 440 divisors, whose sum is σ = 21400156800. Its totient is φ = 1454948352.

The previous prime is 5713597433. The next prime is 5713597451. The reversal of 5713597440 is 447953175.

5713597440 is a `hidden beast` number, since 5 + 7 + 13 + 597 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9538261 + ... + 9538859.

It is an arithmetic number, because the mean of its divisors is an integer number (48636720).

Almost surely, 25713597440 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 5713597440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10700078400).

5713597440 is an abundant number, since it is smaller than the sum of its proper divisors (15686559360).

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

5713597440 is a wasteful number, since it uses less digits than its factorization.

5713597440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The square root of 5713597440 is about 75588.3419582676. The cubic root of 5713597440 is about 1787.7352880491.

The spelling of 5713597440 in words is "five billion, seven hundred thirteen million, five hundred ninety-seven thousand, four hundred forty".