Search a number
-
+
10466921223 = 331137394483
BaseRepresentation
bin10011011111110000…
…01000101100000111
31000000110100200122000
421233320020230013
5132414012434343
64450342240343
7520244235213
oct115770105407
930013320560
1010466921223
114491338920
1220414260b3
13caa660115
14714187943
15413d8eed3
hex26fe08b07

10466921223 has 32 divisors (see below), whose sum is σ = 16961767680. Its totient is φ = 6326514720.

The previous prime is 10466921221. The next prime is 10466921237. The reversal of 10466921223 is 32212966401.

It is a happy number.

10466921223 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10466921223 - 21 = 10466921221 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10466921221) 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 31 ways as a sum of consecutive naturals, for example, 63540 + ... + 158022.

It is an arithmetic number, because the mean of its divisors is an integer number (530055240).

Almost surely, 210466921223 is an apocalyptic number.

10466921223 is a deficient number, since it is larger than the sum of its proper divisors (6494846457).

10466921223 is a wasteful number, since it uses less digits than its factorization.

10466921223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94876 (or 94870 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 10466921223 in words is "ten billion, four hundred sixty-six million, nine hundred twenty-one thousand, two hundred twenty-three".

Divisors: 1 3 9 11 27 33 99 297 373 1119 3357 4103 10071 12309 36927 94483 110781 283449 850347 1039313 2551041 3117939 9353817 28061451 35242159 105726477 317179431 387663749 951538293 1162991247 3488973741 10466921223