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5657184720 = 2433511457521
BaseRepresentation
bin1010100010011000…
…11100100111010000
3112121020222202112000
411101030130213100
543041214402340
62333205034000
7260122163625
oct52114344720
915536882460
105657184720
112443373680
12111a6b5900
136c2059ba5
143b949234c
152319bcd30
hex15131c9d0

5657184720 has 320 divisors, whose sum is σ = 21344705280. Its totient is φ = 1365811200.

The previous prime is 5657184691. The next prime is 5657184721. The reversal of 5657184720 is 274817565.

5657184720 is a `hidden beast` number, since 5 + 6 + 571 + 8 + 4 + 72 + 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 not an unprimeable number, because it can be changed into a prime (5657184721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10858060 + ... + 10858580.

It is an arithmetic number, because the mean of its divisors is an integer number (66702204).

Almost surely, 25657184720 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 5657184720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10672352640).

5657184720 is an abundant number, since it is smaller than the sum of its proper divisors (15687520560).

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

5657184720 is a wasteful number, since it uses less digits than its factorization.

5657184720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The square root of 5657184720 is about 75214.2587545739. The cubic root of 5657184720 is about 1781.8321328341.

The spelling of 5657184720 in words is "five billion, six hundred fifty-seven million, one hundred eighty-four thousand, seven hundred twenty".