Search a number
-
+
10057512961 = 18637539653
BaseRepresentation
bin10010101110111100…
…10111100000000001
3221221220222121002001
421113132113200001
5131044210403321
64341555224001
7504143310136
oct112736274001
927856877061
1010057512961
1142a1227391
121b482a8001
13c438a6402
146b5a5458d
153dce6dc91
hex257797801

10057512961 has 4 divisors (see below), whose sum is σ = 10058071252. Its totient is φ = 10056954672.

The previous prime is 10057512937. The next prime is 10057512967. The reversal of 10057512961 is 16921575001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 1751924736 + 8305588225 = 41856^2 + 91135^2 .

It is a cyclic number.

It is not a de Polignac number, because 10057512961 - 25 = 10057512929 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10057512961.

It is not an unprimeable number, because it can be changed into a prime (10057512967) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 251190 + ... + 288463.

It is an arithmetic number, because the mean of its divisors is an integer number (2514517813).

Almost surely, 210057512961 is an apocalyptic number.

It is an amenable number.

10057512961 is a deficient number, since it is larger than the sum of its proper divisors (558291).

10057512961 is an equidigital number, since it uses as much as digits as its factorization.

10057512961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558290.

The product of its (nonzero) digits is 18900, while the sum is 37.

The spelling of 10057512961 in words is "ten billion, fifty-seven million, five hundred twelve thousand, nine hundred sixty-one".

Divisors: 1 18637 539653 10057512961