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18056103129 = 324729532
BaseRepresentation
bin10000110100001110…
…100100010011011001
31201121100202002001100
4100310032210103121
5243434330300004
612143404542013
71206306226041
oct206416442331
951540662040
1018056103129
117726221589
1235bab51909
131919a448bc
14c34072721
1570a28b739
hex4343a44d9

18056103129 has 27 divisors (see below), whose sum is σ = 26675751583. Its totient is φ = 11768924832.

The previous prime is 18056103127. The next prime is 18056103133. The reversal of 18056103129 is 92130165081.

The square root of 18056103129 is 134373.

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

18056103129 is a `hidden beast` number, since 1 + 8 + 0 + 5 + 610 + 31 + 2 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7519491225 + 10536611904 = 86715^2 + 102648^2 .

It is not a de Polignac number, because 18056103129 - 21 = 18056103127 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 18056103093 and 18056103102.

It is not an unprimeable number, because it can be changed into a prime (18056103127) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18946117 + ... + 18947069.

Almost surely, 218056103129 is an apocalyptic number.

18056103129 is the 134373-rd square number.

18056103129 is the 67187-th centered octagonal number.

It is an amenable number.

18056103129 is a deficient number, since it is larger than the sum of its proper divisors (8619648454).

18056103129 is an frugal number, since it uses more digits than its factorization.

18056103129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2006 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

Multiplying 18056103129 by its sum of digits (36), we get a square (650019712644 = 8062382).

The spelling of 18056103129 in words is "eighteen billion, fifty-six million, one hundred three thousand, one hundred twenty-nine".

Divisors: 1 3 9 47 141 423 953 2209 2859 6627 8577 19881 44791 134373 403119 908209 2105177 2724627 6315531 8173881 18946593 42685823 128057469 384172407 2006233681 6018701043 18056103129