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5660608625 = 53724122541
BaseRepresentation
bin1010100010110011…
…00000100001110001
3112121111102201020022
411101121200201301
543043103434000
62333410253225
7260163244100
oct52131404161
915544381208
105660608625
1124452a2051
12111b887215
136c2988479
143b9b04037
15231e47585
hex151660871

5660608625 has 48 divisors (see below), whose sum is σ = 8418625488. Its totient is φ = 3786720000.

The previous prime is 5660608589. The next prime is 5660608627. The reversal of 5660608625 is 5268060665.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2518333489 + 3142275136 = 50183^2 + 56056^2 .

It is not a de Polignac number, because 5660608625 - 26 = 5660608561 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5660608627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 239855 + ... + 262395.

It is an arithmetic number, because the mean of its divisors is an integer number (175388031).

Almost surely, 25660608625 is an apocalyptic number.

It is an amenable number.

5660608625 is a deficient number, since it is larger than the sum of its proper divisors (2758016863).

5660608625 is a wasteful number, since it uses less digits than its factorization.

5660608625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22611 (or 22594 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 44.

The square root of 5660608625 is about 75237.0163217548. The cubic root of 5660608625 is about 1782.1915338354.

The spelling of 5660608625 in words is "five billion, six hundred sixty million, six hundred eight thousand, six hundred twenty-five".

Divisors: 1 5 7 25 35 41 49 125 175 205 245 287 875 1025 1225 1435 2009 5125 6125 7175 10045 22541 35875 50225 112705 157787 251125 563525 788935 924181 1104509 2817625 3944675 4620905 5522545 6469267 19723375 23104525 27612725 32346335 45284869 115522625 138063625 161731675 226424345 808658375 1132121725 5660608625