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18149602255225 = 52721217212
BaseRepresentation
bin1000010000001110010001…
…00110000110000101111001
32101021002021222122122022021
410020013020212012011321
54334330341134131400
6102333451232354441
73552160030505200
oct410071046060571
971232258578267
1018149602255225
11586822634a911
1220516210a5a21
13a18666a99b9c
1446a6343c4237
152171a5abc71a
hex1081c8986179

18149602255225 has 27 divisors (see below), whose sum is σ = 26180090335821. Its totient is φ = 12445339300800.

The previous prime is 18149602255177. The next prime is 18149602255319. The reversal of 18149602255225 is 52255220694181.

The square root of 18149602255225 is 4260235.

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 556845780841 + 17592756474384 = 746221^2 + 4194372^2 .

It is not a de Polignac number, because 18149602255225 - 29 = 18149602254713 is a prime.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 149047365 + ... + 149169085.

Almost surely, 218149602255225 is an apocalyptic number.

18149602255225 is the 4260235-th square number.

18149602255225 is the 2130118-th centered octagonal number.

It is an amenable number.

18149602255225 is a deficient number, since it is larger than the sum of its proper divisors (8030488080596).

18149602255225 is an frugal number, since it uses more digits than its factorization.

18149602255225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243466 (or 121733 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 52.

The spelling of 18149602255225 in words is "eighteen trillion, one hundred forty-nine billion, six hundred two million, two hundred fifty-five thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 175 245 1225 121721 608605 852047 3043025 4260235 5964329 21301175 29821645 149108225 14816001841 74080009205 103712012887 370400046025 518560064435 725984090209 2592800322175 3629920451045 18149602255225