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5566064640 = 21135409443
BaseRepresentation
bin1010010111100001…
…10110100000000000
3112100220112101021020
411023300312200000
542344403032030
62320152025440
7254634524463
oct51360664000
915326471236
105566064640
1123a6997824
1210b4092280
136a9205196
143ab3332da
152289be510
hex14bc36800

5566064640 has 192 divisors, whose sum is σ = 17890891200. Its totient is φ = 1477312512.

The previous prime is 5566064599. The next prime is 5566064677. The reversal of 5566064640 is 464606655.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 5566064592 and 5566064601.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12564259 + ... + 12564701.

It is an arithmetic number, because the mean of its divisors is an integer number (93181725).

Almost surely, 25566064640 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 5566064640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8945445600).

5566064640 is an abundant number, since it is smaller than the sum of its proper divisors (12324826560).

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

5566064640 is a wasteful number, since it uses less digits than its factorization.

5566064640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The square root of 5566064640 is about 74606.0630243950. The cubic root of 5566064640 is about 1772.2136687418.

The spelling of 5566064640 in words is "five billion, five hundred sixty-six million, sixty-four thousand, six hundred forty".