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18827956225 = 5213221112
BaseRepresentation
bin10001100010001110…
…111101000000000001
31210121011010021110001
4101202032331000001
5302024424044400
612352140240001
71234400662441
oct214216750001
953534107401
1018827956225
117a91988201
123795540001
131a10921100
14ca8792121
15752e03a6a
hex4623bd001

18827956225 has 27 divisors (see below), whose sum is σ = 25292690409. Its totient is φ = 13897135200.

The previous prime is 18827956223. The next prime is 18827956261. The reversal of 18827956225 is 52265972881.

The square root of 18827956225 is 137215.

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 4852933569 + 13975022656 = 69663^2 + 118216^2 .

It is not a de Polignac number, because 18827956225 - 21 = 18827956223 is a prime.

It is a super-2 number, since 2×188279562252 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18827956223) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 8917920 + ... + 8920030.

Almost surely, 218827956225 is an apocalyptic number.

18827956225 is the 137215-th square number.

18827956225 is the 68608-th centered octagonal number.

It is an amenable number.

18827956225 is a deficient number, since it is larger than the sum of its proper divisors (6464734184).

18827956225 is an frugal number, since it uses more digits than its factorization.

18827956225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4258 (or 2129 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 55.

The spelling of 18827956225 in words is "eighteen billion, eight hundred twenty-seven million, nine hundred fifty-six thousand, two hundred twenty-five".

Divisors: 1 5 13 25 65 169 325 845 2111 4225 10555 27443 52775 137215 356759 686075 1783795 4456321 8918975 22281605 57932173 111408025 289660865 753118249 1448304325 3765591245 18827956225