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5566975680 = 263571959739
BaseRepresentation
bin1010010111101000…
…10100111011000000
3112100222020122222110
411023310110323000
542400121210210
62320223335320
7254645340540
oct51364247300
915328218873
105566975680
1123a745a252
1210b4451540
136a9463a66
143ab4cd320
15228aee420
hex14bd14ec0

5566975680 has 448 divisors, whose sum is σ = 21652992000. Its totient is φ = 1183444992.

The previous prime is 5566975679. The next prime is 5566975723. The reversal of 5566975680 is 865796655.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×55669756802 = 61982436443422924800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 5566975680.

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, 7532751 + ... + 7533489.

Almost surely, 25566975680 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 5566975680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10826496000).

5566975680 is an abundant number, since it is smaller than the sum of its proper divisors (16086016320).

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

5566975680 is a wasteful number, since it uses less digits than its factorization.

5566975680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 57.

The square root of 5566975680 is about 74612.1684445641. The cubic root of 5566975680 is about 1772.3103540161.

It can be divided in two parts, 5566975 and 680, that added together give a palindrome (5567655).

The spelling of 5566975680 in words is "five billion, five hundred sixty-six million, nine hundred seventy-five thousand, six hundred eighty".