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10264520513 = 132357334993
BaseRepresentation
bin10011000111101000…
…00010011101000001
3222111100111200001102
421203310002131001
5132010204124023
64414312144145
7512235661532
oct114364023501
928440450042
1010264520513
114398066205
121ba5698055
13c777451a0
146d533c689
1540120e628
hex263d02741

10264520513 has 8 divisors (see below), whose sum is σ = 11058821928. Its totient is φ = 9470893824.

The previous prime is 10264520509. The next prime is 10264520527. The reversal of 10264520513 is 31502546201.

It can be written as a sum of positive squares in 4 ways, for example, as 41692849 + 10222827664 = 6457^2 + 101108^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 10264520513 - 22 = 10264520509 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10264520573) 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, 136856 + ... + 198137.

It is an arithmetic number, because the mean of its divisors is an integer number (1382352741).

Almost surely, 210264520513 is an apocalyptic number.

10264520513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10264520513 is a deficient number, since it is larger than the sum of its proper divisors (794301415).

10264520513 is a wasteful number, since it uses less digits than its factorization.

10264520513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337363.

The product of its (nonzero) digits is 7200, while the sum is 29.

The spelling of 10264520513 in words is "ten billion, two hundred sixty-four million, five hundred twenty thousand, five hundred thirteen".

Divisors: 1 13 2357 30641 334993 4354909 789578501 10264520513