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431683164676 = 223285132
BaseRepresentation
bin1100100100000100101…
…00100101101000000100
31112021020202000220020101
412102002110211220010
524033041342232201
6530151300213444
743121340233341
oct6220224455004
91467222026211
10431683164676
1115709198aa15
126b7b599a284
1331927636b6a
1416c71d8d7c8
15b36819cd01
hex6482525a04

431683164676 has 9 divisors (see below), whose sum is σ = 755447837781. Its totient is φ = 215840925312.

The previous prime is 431683164641. The next prime is 431683164707. The reversal of 431683164676 is 676461386134.

The square root of 431683164676 is 657026.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 209864772100 + 221818392576 = 458110^2 + 470976^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1149796 + ... + 1478308.

Almost surely, 2431683164676 is an apocalyptic number.

431683164676 is the 657026-th square number.

It is an amenable number.

431683164676 is a deficient number, since it is larger than the sum of its proper divisors (323764673105).

431683164676 is an frugal number, since it uses more digits than its factorization.

431683164676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657030 (or 328515 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 55.

The spelling of 431683164676 in words is "four hundred thirty-one billion, six hundred eighty-three million, one hundred sixty-four thousand, six hundred seventy-six".

Divisors: 1 2 4 328513 657026 1314052 107920791169 215841582338 431683164676