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5652884160 = 2633571129293
BaseRepresentation
bin1010100001111000…
…00010101011000000
3112120221220021021000
411100330002223000
543034114243120
62332532532000
7260040502560
oct52074025300
915527807230
105652884160
1124409a65a0
121119181000
136c11b2591
143b8a92da0
1523141d990
hex150f02ac0

5652884160 has 896 divisors, whose sum is σ = 25808025600. Its totient is φ = 1130250240.

The previous prime is 5652884129. The next prime is 5652884219. The reversal of 5652884160 is 614882565.

5652884160 is a `hidden beast` number, since 565 + 2 + 8 + 84 + 1 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19292974 + ... + 19293266.

It is an arithmetic number, because the mean of its divisors is an integer number (28803600).

Almost surely, 25652884160 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 5652884160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12904012800).

5652884160 is an abundant number, since it is smaller than the sum of its proper divisors (20155141440).

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

5652884160 is a wasteful number, since it uses less digits than its factorization.

5652884160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 5652884160 is about 75185.6645910642. The cubic root of 5652884160 is about 1781.3805054520.

The spelling of 5652884160 in words is "five billion, six hundred fifty-two million, eight hundred eighty-four thousand, one hundred sixty".