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5657008896 = 28357111181
BaseRepresentation
bin1010100010010111…
…10001101100000000
3112121020122211100000
411101023301230000
543041143241041
62333201200000
7260120532210
oct52113615400
915536584300
105657008896
112443263570
12111a630000
136c1cc7b56
143b9448240
15231985bb6
hex1512f1b00

5657008896 has 432 divisors, whose sum is σ = 21106245888. Its totient is φ = 1468108800.

The previous prime is 5657008891. The next prime is 5657008897. The reversal of 5657008896 is 6988007565.

5657008896 is a `hidden beast` number, since 565 + 70 + 0 + 8 + 8 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5657008891) 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, 4789426 + ... + 4790606.

Almost surely, 25657008896 is an apocalyptic number.

5657008896 is a gapful number since it is divisible by the number (56) 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 5657008896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10553122944).

5657008896 is an abundant number, since it is smaller than the sum of its proper divisors (15449236992).

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

5657008896 is a wasteful number, since it uses less digits than its factorization.

5657008896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The square root of 5657008896 is about 75213.0899245603. The cubic root of 5657008896 is about 1781.8136729986.

The spelling of 5657008896 in words is "five billion, six hundred fifty-seven million, eight thousand, eight hundred ninety-six".