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18416389849 = 112134732
BaseRepresentation
bin10001001001101100…
…111100111011011001
31202112110200112111221
4101021230330323121
5300204043433344
612243235052041
71221242505454
oct211154747331
952473615457
1018416389849
1178a0632300
12369b741021
131976590000
14c69c5a49b
1572bc08184
hex449b3ced9

18416389849 has 45 divisors (see below), whose sum is σ = 22234171659. Its totient is φ = 15242610240.

The previous prime is 18416389841. The next prime is 18416389853. The reversal of 18416389849 is 94898361481.

The square root of 18416389849 is 135707.

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

It can be written as a sum of positive squares in 7 ways, for example, as 18320976025 + 95413824 = 135355^2 + 9768^2 .

It is not a de Polignac number, because 18416389849 - 23 = 18416389841 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18416389841) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 252279277 + ... + 252279349.

Almost surely, 218416389849 is an apocalyptic number.

18416389849 is the 135707-th square number.

18416389849 is the 67854-th centered octagonal number.

It is an amenable number.

18416389849 is a deficient number, since it is larger than the sum of its proper divisors (3817781810).

18416389849 is an frugal number, since it uses more digits than its factorization.

18416389849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 97 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 61.

The spelling of 18416389849 in words is "eighteen billion, four hundred sixteen million, three hundred eighty-nine thousand, eight hundred forty-nine".

Divisors: 1 11 13 73 121 143 169 803 949 1573 1859 2197 5329 8833 10439 12337 20449 24167 28561 58619 69277 114829 135707 160381 265837 314171 644809 762047 900601 1492777 1764191 2084953 3455881 8382517 9906611 11707813 19406101 22934483 108972721 128785943 152201569 252279313 1416645373 1674217259 18416389849