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10264552337 = 1314919327457
BaseRepresentation
bin10011000111101000…
…01010001110010001
3222111100120021201002
421203310022032101
5132010211133322
64414312551345
7512236153364
oct114364121621
928440507632
1010264552337
114398088106
121ba56b2555
13c77756810
146d534a0db
15401218c92
hex263d0a391

10264552337 has 16 divisors (see below), whose sum is σ = 11186389200. Its totient is φ = 9362276352.

The previous prime is 10264552307. The next prime is 10264552339. The reversal of 10264552337 is 73325546201.

10264552337 is digitally balanced in base 3, 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 8 ways, for example, as 5635655041 + 4628897296 = 75071^2 + 68036^2 .

It is not a de Polignac number, because 10264552337 - 230 = 9190810513 is a prime.

It is a super-2 number, since 2×102645523372 (a number of 21 digits) contains 22 as substring.

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 10264552337.

It is not an unprimeable number, because it can be changed into a prime (10264552339) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 360113 + ... + 387569.

It is an arithmetic number, because the mean of its divisors is an integer number (699149325).

Almost surely, 210264552337 is an apocalyptic number.

It is an amenable number.

10264552337 is a deficient number, since it is larger than the sum of its proper divisors (921836863).

10264552337 is a wasteful number, since it uses less digits than its factorization.

10264552337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27812.

The product of its (nonzero) digits is 151200, while the sum is 38.

The spelling of 10264552337 in words is "ten billion, two hundred sixty-four million, five hundred fifty-two thousand, three hundred thirty-seven".

Divisors: 1 13 149 193 1937 2509 27457 28757 356941 373841 4091093 5299201 53184209 68889613 789580949 10264552337