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5565680640 = 2103351319163
BaseRepresentation
bin1010010111011110…
…11000110000000000
3112100212210212112000
411023233120300000
542344303240030
62320135504000
7254631335112
oct51357306000
915325725460
105565680640
1123a6755273
1210b3b28000
136a90cc470
143ab2733b2
15228945860
hex14bbd8c00

5565680640 has 704 divisors, whose sum is σ = 22559577600. Its totient is φ = 1289945088.

The previous prime is 5565680633. The next prime is 5565680651. The reversal of 5565680640 is 460865655.

It is a happy number.

5565680640 is a `hidden beast` number, since 5 + 565 + 6 + 80 + 6 + 4 + 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 63 ways as a sum of consecutive naturals, for example, 34145199 + ... + 34145361.

Almost surely, 25565680640 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 5565680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11279788800).

5565680640 is an abundant number, since it is smaller than the sum of its proper divisors (16993896960).

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

5565680640 is a wasteful number, since it uses less digits than its factorization.

5565680640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The square root of 5565680640 is about 74603.4894626250. The cubic root of 5565680640 is about 1772.1729130947.

The spelling of 5565680640 in words is "five billion, five hundred sixty-five million, six hundred eighty thousand, six hundred forty".