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323163825625 = 54227392
BaseRepresentation
bin1001011001111100001…
…00001010010111011001
31010220010211202021211201
410230332010022113121
520243314414410000
6404243122154201
732230205123554
oct4547604122731
91126124667751
10323163825625
11115064611343
125276aab2961
1324621b1a8c4
14118d96b769b
15861607e96a
hex4b3e10a5d9

323163825625 has 15 divisors (see below), whose sum is σ = 403843276441. Its totient is φ = 258519691000.

The previous prime is 323163825557. The next prime is 323163825661. The reversal of 323163825625 is 526528361323.

It is a happy number.

The square root of 323163825625 is 568475.

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

It can be written as a sum of positive squares in 2 ways, for example, as 25336043929 + 297827781696 = 159173^2 + 545736^2 .

It is not a de Polignac number, because 323163825625 - 27 = 323163825497 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 14200506 + ... + 14223244.

Almost surely, 2323163825625 is an apocalyptic number.

323163825625 is the 568475-th square number.

323163825625 is the 284238-th centered octagonal number.

It is an amenable number.

323163825625 is a deficient number, since it is larger than the sum of its proper divisors (80679450816).

323163825625 is an frugal number, since it uses more digits than its factorization.

323163825625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45498 (or 22744 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 46.

The spelling of 323163825625 in words is "three hundred twenty-three billion, one hundred sixty-three million, eight hundred twenty-five thousand, six hundred twenty-five".

Divisors: 1 5 25 125 625 22739 113695 568475 2842375 14211875 517062121 2585310605 12926553025 64632765125 323163825625