Search a number
-
+
10264526233 = 136131288057
BaseRepresentation
bin10011000111101000…
…00011110110011001
3222111100111221220021
421203310003312121
5132010204314413
64414312230441
7512236014313
oct114364036631
928440457807
1010264526233
11439806a535
121ba569b421
13c77747980
146d53407b3
1540121118d
hex263d03d99

10264526233 has 8 divisors (see below), whose sum is σ = 11072146568. Its totient is φ = 9459483264.

The previous prime is 10264526231. The next prime is 10264526291. The reversal of 10264526233 is 33262546201.

10264526233 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 4 ways, for example, as 1509555609 + 8754970624 = 38853^2 + 93568^2 .

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 10264526233 - 21 = 10264526231 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10264526231) 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 7 ways as a sum of consecutive naturals, for example, 636060 + ... + 651997.

It is an arithmetic number, because the mean of its divisors is an integer number (1384018321).

Almost surely, 210264526233 is an apocalyptic number.

10264526233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10264526233 is a deficient number, since it is larger than the sum of its proper divisors (807620335).

10264526233 is a wasteful number, since it uses less digits than its factorization.

10264526233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288683.

The product of its (nonzero) digits is 51840, while the sum is 34.

The spelling of 10264526233 in words is "ten billion, two hundred sixty-four million, five hundred twenty-six thousand, two hundred thirty-three".

Divisors: 1 13 613 7969 1288057 16744741 789578941 10264526233