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56365882225 = 5210324612
BaseRepresentation
bin110100011111101010…
…110001101101110001
312101111020100111100121
4310133222301231301
51410414131212400
641521044250241
74033541044102
oct643752615561
9171436314317
1056365882225
11219a5086644
12ab109a0981
135413892a43
142a29d823a9
1516ed6a221a
hexd1fab1b71

56365882225 has 27 divisors (see below), whose sum is σ = 70732293249. Its totient is φ = 44558047200.

The previous prime is 56365882171. The next prime is 56365882241. The reversal of 56365882225 is 52228856365.

The square root of 56365882225 is 237415.

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

It can be written as a sum of positive squares in 4 ways, for example, as 5762479921 + 50603402304 = 75911^2 + 224952^2 .

It is not a de Polignac number, because 56365882225 - 211 = 56365880177 is a prime.

It is a super-2 number, since 2×563658822252 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 122268495 + ... + 122268955.

Almost surely, 256365882225 is an apocalyptic number.

56365882225 is the 237415-th square number.

56365882225 is the 118708-th centered octagonal number.

It is an amenable number.

56365882225 is a deficient number, since it is larger than the sum of its proper divisors (14366411024).

56365882225 is an frugal number, since it uses more digits than its factorization.

56365882225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 569 counting only the distinct ones).

The product of its digits is 6912000, while the sum is 52.

The spelling of 56365882225 in words is "fifty-six billion, three hundred sixty-five million, eight hundred eighty-two thousand, two hundred twenty-five".

Divisors: 1 5 25 103 461 515 2305 2575 10609 11525 47483 53045 212521 237415 265225 1062605 1187075 4890749 5313025 21889663 24453745 109448315 122268725 547241575 2254635289 11273176445 56365882225