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10264274461 = 721291716217
BaseRepresentation
bin10011000111100110…
…00110011000011101
3222111100001011112101
421203303012120131
5132010123240321
64414303005101
7512233615300
oct114363063035
928440034471
1010264274461
114397a08361
121ba5599791
13c7768a1ac
146d52b6b37
154011b1791
hex263cc661d

10264274461 has 12 divisors (see below), whose sum is σ = 11941735068. Its totient is φ = 8796725952.

The previous prime is 10264274441. The next prime is 10264274477. The reversal of 10264274461 is 16447246201.

10264274461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7003179225 + 3261095236 = 83685^2 + 57106^2 .

It is not a de Polignac number, because 10264274461 - 213 = 10264266269 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 10264274461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10264274441) 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 11 ways as a sum of consecutive naturals, for example, 624825 + ... + 641041.

It is an arithmetic number, because the mean of its divisors is an integer number (995144589).

Almost surely, 210264274461 is an apocalyptic number.

It is an amenable number.

10264274461 is a deficient number, since it is larger than the sum of its proper divisors (1677460607).

10264274461 is a wasteful number, since it uses less digits than its factorization.

10264274461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29148 (or 29141 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The spelling of 10264274461 in words is "ten billion, two hundred sixty-four million, two hundred seventy-four thousand, four hundred sixty-one".

Divisors: 1 7 49 12917 16217 90419 113519 632933 794633 209474989 1466324923 10264274461