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16998162129 = 3213233432
BaseRepresentation
bin11111101010010101…
…10101111011010001
31121212122001002211100
433311022311323101
5234303012142004
611450413335013
71141141664664
oct176512657321
947778032740
1016998162129
117233023883
123364797469
1317ab7cba00
14b737616db
15697462739
hex3f52b5ed1

16998162129 has 27 divisors (see below), whose sum is σ = 26594824347. Its totient is φ = 10457278416.

The previous prime is 16998162107. The next prime is 16998162131. The reversal of 16998162129 is 92126189961.

The square root of 16998162129 is 130377.

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

16998162129 is a `hidden beast` number, since 1 + 6 + 9 + 9 + 8 + 1 + 621 + 2 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2514521025 + 14483641104 = 50145^2 + 120348^2 .

It is a de Polignac number, because none of the positive numbers 2k-16998162129 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (16998162149) 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, 5083032 + ... + 5086374.

Almost surely, 216998162129 is an apocalyptic number.

16998162129 is the 130377-th square number.

16998162129 is the 65189-th centered octagonal number.

It is an amenable number.

16998162129 is a deficient number, since it is larger than the sum of its proper divisors (9596662218).

16998162129 is an frugal number, since it uses more digits than its factorization.

16998162129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6718 (or 3359 counting only the distinct ones).

The product of its digits is 839808, while the sum is 54.

The spelling of 16998162129 in words is "sixteen billion, nine hundred ninety-eight million, one hundred sixty-two thousand, one hundred twenty-nine".

Divisors: 1 3 9 13 39 117 169 507 1521 3343 10029 30087 43459 130377 391131 564967 1694901 5084703 11175649 33526947 100580841 145283437 435850311 1307550933 1888684681 5666054043 16998162129