Search a number
-
+
5628648961 = 134110560317
BaseRepresentation
bin1010011110111111…
…00101111000000001
3112112021021222211001
411033133211320001
543011413231321
62330305252001
7256324504165
oct51737457001
915467258731
105628648961
112429253301
121111034001
136b9178520
143b5784ca5
1522e232c91
hex14f7e5e01

5628648961 has 8 divisors (see below), whose sum is σ = 6209466984. Its totient is φ = 5068951680.

The previous prime is 5628648877. The next prime is 5628648967. The reversal of 5628648961 is 1698468265.

It can be written as a sum of positive squares in 4 ways, for example, as 55130625 + 5573518336 = 7425^2 + 74656^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 5628648961 - 27 = 5628648833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5628648967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5279626 + ... + 5280691.

It is an arithmetic number, because the mean of its divisors is an integer number (776183373).

Almost surely, 25628648961 is an apocalyptic number.

It is an amenable number.

5628648961 is a deficient number, since it is larger than the sum of its proper divisors (580818023).

5628648961 is a wasteful number, since it uses less digits than its factorization.

5628648961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10560371.

The product of its digits is 4976640, while the sum is 55.

The square root of 5628648961 is about 75024.3224627854. The cubic root of 5628648961 is about 1778.8311310438.

The spelling of 5628648961 in words is "five billion, six hundred twenty-eight million, six hundred forty-eight thousand, nine hundred sixty-one".

Divisors: 1 13 41 533 10560317 137284121 432972997 5628648961