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18476149329 = 3411213732
BaseRepresentation
bin10001001101010000…
…111010101001010001
31202200122010122010000
4101031100322221101
5300314343234304
612253212000213
71222566451401
oct211520725121
952618118100
1018476149329
117921339500
1236b7760069
131985a84651
14c73b74801
157320ae939
hex44d43aa51

18476149329 has 45 divisors (see below), whose sum is σ = 30359492779. Its totient is φ = 11189510640.

The previous prime is 18476149291. The next prime is 18476149333. The reversal of 18476149329 is 92394167481.

The square root of 18476149329 is 135927.

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

18476149329 is a `hidden beast` number, since 1 + 8 + 476 + 149 + 3 + 29 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18261468225 + 214681104 = 135135^2 + 14652^2 .

It is not a de Polignac number, because 18476149329 - 217 = 18476018257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (18476149129) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 13456087 + ... + 13457459.

Almost surely, 218476149329 is an apocalyptic number.

18476149329 is the 135927-th square number.

18476149329 is the 67964-th centered octagonal number.

It is an amenable number.

18476149329 is a deficient number, since it is larger than the sum of its proper divisors (11883343450).

18476149329 is an frugal number, since it uses more digits than its factorization.

18476149329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2780 (or 1387 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The spelling of 18476149329 in words is "eighteen billion, four hundred seventy-six million, one hundred forty-nine thousand, three hundred twenty-nine".

Divisors: 1 3 9 11 27 33 81 99 121 297 363 891 1089 1373 3267 4119 9801 12357 15103 37071 45309 111213 135927 166133 407781 498399 1223343 1495197 1885129 4485591 5655387 13456773 16966161 20736419 50898483 62209257 152695449 186627771 228100609 559883313 684301827 1679649939 2052905481 6158716443 18476149329