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5640495840 = 253257279939
BaseRepresentation
bin1010100000011001…
…10010001011100000
3112120002120212200100
411100030302023200
543022431331330
62331411222400
7256530265200
oct52014621340
915502525610
105640495840
112434a05011
121114ba7a00
136bb765905
143b718a400
152302c3060
hex1503322e0

5640495840 has 216 divisors, whose sum is σ = 22391034120. Its totient is φ = 1289240064.

The previous prime is 5640495811. The next prime is 5640495851. The reversal of 5640495840 is 485940465.

5640495840 is a `hidden beast` number, since 5 + 64 + 0 + 4 + 9 + 584 + 0 = 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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30591 + ... + 110529.

It is an arithmetic number, because the mean of its divisors is an integer number (103662195).

Almost surely, 25640495840 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 5640495840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11195517060).

5640495840 is an abundant number, since it is smaller than the sum of its proper divisors (16750538280).

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

5640495840 is a wasteful number, since it uses less digits than its factorization.

5640495840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79974 (or 79956 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 5640495840 is about 75103.2345508501. The cubic root of 5640495840 is about 1780.0782526722.

The spelling of 5640495840 in words is "five billion, six hundred forty million, four hundred ninety-five thousand, eight hundred forty".