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5703920640 = 21033511331
BaseRepresentation
bin1010100111111101…
…01110110000000000
3112201111221012011000
411103332232300000
543140200430030
62341554452000
7261230345145
oct52376566000
915644835130
105703920640
112467795000
121132294000
136cb941692
143c177a3cc
15235b50860
hex153faec00

5703920640 has 704 divisors, whose sum is σ = 23015485440. Its totient is φ = 1338163200.

The previous prime is 5703920617. The next prime is 5703920683. The reversal of 5703920640 is 460293075.

5703920640 is a `hidden beast` number, since 5 + 7 + 0 + 3 + 9 + 2 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5703920595 and 5703920604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 183997425 + ... + 183997455.

Almost surely, 25703920640 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 5703920640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11507742720).

5703920640 is an abundant number, since it is smaller than the sum of its proper divisors (17311564800).

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

5703920640 is a wasteful number, since it uses less digits than its factorization.

5703920640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 5703920640 is about 75524.3049620452. The cubic root of 5703920640 is about 1786.7254553562.

The spelling of 5703920640 in words is "five billion, seven hundred three million, nine hundred twenty thousand, six hundred forty".