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325223656641 = 321311328187541
BaseRepresentation
bin1001011101110001101…
…01110010110011000001
31011002110101200112210100
410232320311302303001
520312024224003031
6405223343353013
732332226320032
oct4567065626301
91132411615710
10325223656641
11115a21303924
12530448b2769
132488c7b3020
1411a530a8a89
1586d6d0ede6
hex4bb8d72cc1

325223656641 has 48 divisors (see below), whose sum is σ = 512202639312. Its totient is φ = 197658316800.

The previous prime is 325223656631. The next prime is 325223656651. The reversal of 325223656641 is 146656322523.

325223656641 is a `hidden beast` number, since 3 + 2 + 52 + 2 + 36 + 566 + 4 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (325223656631) and next prime (325223656651).

It can be written as a sum of positive squares in 8 ways, for example, as 64158863616 + 261064793025 = 253296^2 + 510945^2 .

It is not a de Polignac number, because 325223656641 - 214 = 325223640257 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (325223656631) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3671331 + ... + 3758871.

It is an arithmetic number, because the mean of its divisors is an integer number (10670888319).

Almost surely, 2325223656641 is an apocalyptic number.

It is an amenable number.

325223656641 is a deficient number, since it is larger than the sum of its proper divisors (186978982671).

325223656641 is a wasteful number, since it uses less digits than its factorization.

325223656641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87954 (or 87951 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 45.

The spelling of 325223656641 in words is "three hundred twenty-five billion, two hundred twenty-three million, six hundred fifty-six thousand, six hundred forty-one".

Divisors: 1 3 9 13 39 113 117 281 339 843 1017 1469 2529 3653 4407 10959 13221 31753 32877 87541 95259 262623 285777 412789 787869 1138033 1238367 3414099 3715101 9892133 10242297 24599021 29676399 73797063 89029197 128597729 221391189 319787273 385793187 959361819 1157379561 2779689373 2878085457 8339068119 25017204357 36135961849 108407885547 325223656641