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20092492476225 = 325213212721812
BaseRepresentation
bin1001001000110001001011…
…11000000110111101000001
32122010211020100101010101100
410210120211320012331001
510113143411033214400
6110422210312525013
74142430460056651
oct444304570067501
978124210333340
1020092492476225
1164471a6213434
1223060870b0769
13b299385cca00
144d66a61ac361
1524c9b9e54100
hex124625e06f41

20092492476225 has 243 divisors, whose sum is σ = 39496597831899. Its totient is φ = 9759581395200.

The previous prime is 20092492476191. The next prime is 20092492476239. The reversal of 20092492476225 is 52267429429002.

The square root of 20092492476225 is 4482465.

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

20092492476225 is a `hidden beast` number, since 2 + 0 + 0 + 9 + 2 + 4 + 9 + 2 + 4 + 7 + 622 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 16641235120689 + 3451257355536 = 4079367^2 + 1857756^2 .

It is not a de Polignac number, because 20092492476225 - 27 = 20092492476097 is a prime.

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 242 ways as a sum of consecutive naturals, for example, 111008245635 + ... + 111008245815.

Almost surely, 220092492476225 is an apocalyptic number.

20092492476225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20092492476225 is the 4482465-th square number.

20092492476225 is the 2241233-rd centered octagonal number.

It is an amenable number.

20092492476225 is a deficient number, since it is larger than the sum of its proper divisors (19404105355674).

20092492476225 is a wasteful number, since it uses less digits than its factorization.

20092492476225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 20092492476225 in words is "twenty trillion, ninety-two billion, four hundred ninety-two million, four hundred seventy-six thousand, two hundred twenty-five".