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923413606314329 = 13312698518025647
BaseRepresentation
bin1101000111110101101111101…
…1111111000011000101011001
311111002112110220220211022000202
43101331123323333003011121
51432013202031204024304
613031534204321111545
7365334300664023164
oct32175337377030531
94432473826738022
10923413606314329
1124825656946a949
12876978b04885b5
13308336b6232060
1412405658094adb
1571b51912ba81e
hex347d6fbfc3159

923413606314329 has 16 divisors (see below), whose sum is σ = 1030340382382080. Its totient is φ = 821819114326080.

The previous prime is 923413606314293. The next prime is 923413606314361.

923413606314329 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 923413606314329 - 240 = 922314094686553 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (923413606310329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4258904417 + ... + 4259121230.

It is an arithmetic number, because the mean of its divisors is an integer number (64396273898880).

Almost surely, 2923413606314329 is an apocalyptic number.

It is an amenable number.

923413606314329 is a deficient number, since it is larger than the sum of its proper divisors (106926776067751).

923413606314329 is a wasteful number, since it uses less digits than its factorization.

923413606314329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8518025960.

The product of its (nonzero) digits is 15116544, while the sum is 56.

It can be divided in two parts, 92341360 and 6314329, that added together give a palindrome (98655689).

The spelling of 923413606314329 in words is "nine hundred twenty-three trillion, four hundred thirteen billion, six hundred six million, three hundred fourteen thousand, three hundred twenty-nine".

Divisors: 1 13 31 269 403 3497 8339 108407 8518025647 110734333411 264058795057 2291348899043 3432764335741 29787535687559 71031815870333 923413606314329