Search a number
-
+
5560386624 = 26321322392
BaseRepresentation
bin1010010110110110…
…01100010001000000
3112100111211220111100
411023123030101000
542341424332444
62315430214400
7254535335502
oct51333142100
915314756440
105560386624
1123a3769851
1210b21b4400
136a7c97900
143aa695d72
1522824be69
hex14b6cc440

5560386624 has 189 divisors, whose sum is σ = 17330651013. Its totient is φ = 1703729664.

The previous prime is 5560386607. The next prime is 5560386647. The reversal of 5560386624 is 4266830655.

The square root of 5560386624 is 74568.

It is a perfect power (a square), and thus also a powerful number.

5560386624 is a `hidden beast` number, since 5 + 560 + 3 + 8 + 66 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 822542400 + 4737844224 = 28680^2 + 68832^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5560386624.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 23265097 + ... + 23265335.

Almost surely, 25560386624 is an apocalyptic number.

5560386624 is the 74568-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5560386624

5560386624 is an abundant number, since it is smaller than the sum of its proper divisors (11770264389).

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

5560386624 is a wasteful number, since it uses less digits than its factorization.

5560386624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The cubic root of 5560386624 is about 1771.6108441945.

The spelling of 5560386624 in words is "five billion, five hundred sixty million, three hundred eighty-six thousand, six hundred twenty-four".