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5703385968 = 24327253101151
BaseRepresentation
bin1010100111111001…
…01100001101110000
3112201110221000201100
411103330230031300
543140031322333
62341535204400
7261222660300
oct52374541560
915643830640
105703385968
11246745a325
121132076700
136cb7b51c7
143c167b600
15235a97213
hex153f2c370

5703385968 has 360 divisors, whose sum is σ = 19231688736. Its totient is φ = 1572480000.

The previous prime is 5703385931. The next prime is 5703385973. The reversal of 5703385968 is 8695833075.

It is a happy number.

5703385968 is a `hidden beast` number, since 570 + 3 + 3 + 8 + 5 + 9 + 68 = 666.

It is a super-2 number, since 2×57033859682 = 65057222999958594048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37770693 + ... + 37770843.

Almost surely, 25703385968 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 5703385968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9615844368).

5703385968 is an abundant number, since it is smaller than the sum of its proper divisors (13528302768).

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

5703385968 is a wasteful number, since it uses less digits than its factorization.

5703385968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The square root of 5703385968 is about 75520.7651444290. The cubic root of 5703385968 is about 1786.6696258088.

The spelling of 5703385968 in words is "five billion, seven hundred three million, three hundred eighty-five thousand, nine hundred sixty-eight".