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10157563361 = 11923414851
BaseRepresentation
bin10010111010111000…
…00001110111100001
3222012220020200102102
421131130001313201
5131300314011421
64355531500145
7506466602231
oct113534016741
928186220372
1010157563361
114342752770
121b758b7655
13c5b536b2a
146c5059cc1
153e6b3360b
hex25d701de1

10157563361 has 4 divisors (see below), whose sum is σ = 11080978224. Its totient is φ = 9234148500.

The previous prime is 10157563349. The next prime is 10157563363. The reversal of 10157563361 is 16336575101.

It is a happy number.

10157563361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 10157563361 - 214 = 10157546977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10157563363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 461707415 + ... + 461707436.

It is an arithmetic number, because the mean of its divisors is an integer number (2770244556).

Almost surely, 210157563361 is an apocalyptic number.

10157563361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10157563361 is a deficient number, since it is larger than the sum of its proper divisors (923414863).

10157563361 is an equidigital number, since it uses as much as digits as its factorization.

10157563361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923414862.

The product of its (nonzero) digits is 56700, while the sum is 38.

The spelling of 10157563361 in words is "ten billion, one hundred fifty-seven million, five hundred sixty-three thousand, three hundred sixty-one".

Divisors: 1 11 923414851 10157563361