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5657529024 = 263372109613
BaseRepresentation
bin1010100010011011…
…10000101011000000
3112121021122020211000
411101031300223000
543041311412044
62333220252000
7260125126500
oct52115605300
915537566730
105657529024
112443589324
12111a841000
136c214a814
143b9541a00
15231a39d69
hex151370ac0

5657529024 has 336 divisors, whose sum is σ = 19556882400. Its totient is φ = 1598994432.

The previous prime is 5657529023. The next prime is 5657529041. The reversal of 5657529024 is 4209257565.

5657529024 is a `hidden beast` number, since 56 + 57 + 529 + 0 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (5657529023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9228942 + ... + 9229554.

Almost surely, 25657529024 is an apocalyptic number.

5657529024 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5657529024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9778441200).

5657529024 is an abundant number, since it is smaller than the sum of its proper divisors (13899353376).

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

5657529024 is a wasteful number, since it uses less digits than its factorization.

5657529024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The square root of 5657529024 is about 75216.5475410830. The cubic root of 5657529024 is about 1781.8682803477.

The spelling of 5657529024 in words is "five billion, six hundred fifty-seven million, five hundred twenty-nine thousand, twenty-four".