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10464312321 = 34472748703
BaseRepresentation
bin10011011111011100…
…01011110000000001
31000000021110010220000
421233232023300001
5132412330443241
64450210310213
7520213121121
oct115756136001
930007403800
1010464312321
11448a916801
122040588369
13ca9c587a8
14713aa8c81
15413a26eb6
hex26fb8bc01

10464312321 has 20 divisors (see below), whose sum is σ = 15964472832. Its totient is φ = 6827775768.

The previous prime is 10464312281. The next prime is 10464312329. The reversal of 10464312321 is 12321346401.

It is a happy number.

10464312321 is a `hidden beast` number, since 1 + 0 + 4 + 643 + 12 + 3 + 2 + 1 = 666.

10464312321 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 10464312321 - 211 = 10464310273 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10464312329) 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 19 ways as a sum of consecutive naturals, for example, 1370545 + ... + 1378158.

Almost surely, 210464312321 is an apocalyptic number.

It is an amenable number.

10464312321 is a deficient number, since it is larger than the sum of its proper divisors (5500160511).

10464312321 is an equidigital number, since it uses as much as digits as its factorization.

10464312321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2748762 (or 2748753 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 10464312321 its reverse (12321346401), we get a palindrome (22785658722).

It can be divided in two parts, 104643 and 12321, that added together give a square (116964 = 3422).

The spelling of 10464312321 in words is "ten billion, four hundred sixty-four million, three hundred twelve thousand, three hundred twenty-one".

Divisors: 1 3 9 27 47 81 141 423 1269 3807 2748703 8246109 24738327 74214981 129189041 222644943 387567123 1162701369 3488104107 10464312321