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18976991049 = 324729772
BaseRepresentation
bin10001101011000111…
…011110011101001001
31210222112120000210100
4101223013132131021
5302331102203144
612415022440013
71241160522342
oct215307363511
953875500710
1018976991049
118059020285
123817433009
131a357728b3
14cc04a90c9
15761042269
hex46b1de749

18976991049 has 27 divisors (see below), whose sum is σ = 28035530887. Its totient is φ = 12369476544.

The previous prime is 18976991017. The next prime is 18976991107. The reversal of 18976991049 is 94019967981.

The square root of 18976991049 is 137757.

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

It can be written as a sum of positive squares in only one way, i.e., 17754230025 + 1222761024 = 133245^2 + 34968^2 .

It is not a de Polignac number, because 18976991049 - 25 = 18976991017 is a prime.

It is a super-2 number, since 2×189769910492 (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 (18976991009) 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 26 ways as a sum of consecutive naturals, for example, 19423249 + ... + 19424225.

Almost surely, 218976991049 is an apocalyptic number.

18976991049 is the 137757-th square number.

18976991049 is the 68879-th centered octagonal number.

It is an amenable number.

18976991049 is a deficient number, since it is larger than the sum of its proper divisors (9058539838).

18976991049 is an frugal number, since it uses more digits than its factorization.

18976991049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2054 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 63.

It can be divided in two parts, 18976 and 991049, that added together give a square (1010025 = 10052).

The spelling of 18976991049 in words is "eighteen billion, nine hundred seventy-six million, nine hundred ninety-one thousand, forty-nine".

Divisors: 1 3 9 47 141 423 977 2209 2931 6627 8793 19881 45919 137757 413271 954529 2158193 2863587 6474579 8590761 19423737 44862863 134588589 403765767 2108554561 6325663683 18976991049