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5649513408 = 2632721131587
BaseRepresentation
bin1010100001011110…
…01011101111000000
3112120201120000110100
411100233023233000
543032233412113
62332332402400
7260000033400
oct52057135700
915521500410
105649513408
11243a004050
121118016400
136c05a2256
143b8456800
15230ea4d73
hex150bcbbc0

5649513408 has 504 divisors, whose sum is σ = 21248607744. Its totient is φ = 1417651200.

The previous prime is 5649513383. The next prime is 5649513413. The reversal of 5649513408 is 8043159465.

5649513408 is a `hidden beast` number, since 56 + 49 + 513 + 40 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9624091 + ... + 9624677.

It is an arithmetic number, because the mean of its divisors is an integer number (42159936).

Almost surely, 25649513408 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 5649513408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10624303872).

5649513408 is an abundant number, since it is smaller than the sum of its proper divisors (15599094336).

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

5649513408 is a wasteful number, since it uses less digits than its factorization.

5649513408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 5649513408 is about 75163.2450603352. The cubic root of 5649513408 is about 1781.0263625863.

The spelling of 5649513408 in words is "five billion, six hundred forty-nine million, five hundred thirteen thousand, four hundred eight".