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123664466321 = 11231992456243
BaseRepresentation
bin111001100101011111…
…0100000000110010001
3102211012101111210021022
41303022332200012101
54011231100410241
6132451034405225
711635343422454
oct1631276400621
9384171453238
10123664466321
114849a404990
121bb72b90815
13b87a449336
145db1cb749b
15333ba4d54b
hex1ccafa0191

123664466321 has 16 divisors (see below), whose sum is σ = 141479654400. Its totient is φ = 106993901520.

The previous prime is 123664466311. The next prime is 123664466329.

123664466321 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-123664466321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123664466329) 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 15 ways as a sum of consecutive naturals, for example, 1177775 + ... + 1278468.

It is an arithmetic number, because the mean of its divisors is an integer number (8842478400).

Almost surely, 2123664466321 is an apocalyptic number.

123664466321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123664466321 is a deficient number, since it is larger than the sum of its proper divisors (17815188079).

123664466321 is a wasteful number, since it uses less digits than its factorization.

123664466321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2456476.

The product of its digits is 746496, while the sum is 44.

It can be divided in two parts, 123664 and 466321, that added together give a palindrome (589985).

The spelling of 123664466321 in words is "one hundred twenty-three billion, six hundred sixty-four million, four hundred sixty-six thousand, three hundred twenty-one".

Divisors: 1 11 23 199 253 2189 4577 50347 2456243 27018673 56493589 488792357 621429479 5376715927 11242224211 123664466321