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165416049 = 3218379561
BaseRepresentation
bin10011101110000…
…00110001110001
3102112021000011100
421313000301301
5314321303144
624225235013
74046004351
oct1167006161
9375230140
10165416049
1185411587
1247492a69
1328368a26
1417d7cb61
15e7c7269
hex9dc0c71

165416049 has 6 divisors (see below), whose sum is σ = 238934306. Its totient is φ = 110277360.

The previous prime is 165416039. The next prime is 165416051. The reversal of 165416049 is 940614561.

165416049 is a `hidden beast` number, since 1 + 6 + 5 + 41 + 604 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 124545600 + 40870449 = 11160^2 + 6393^2 .

It is a de Polignac number, because none of the positive numbers 2k-165416049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (165416039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9189772 + ... + 9189789.

Almost surely, 2165416049 is an apocalyptic number.

It is an amenable number.

165416049 is a deficient number, since it is larger than the sum of its proper divisors (73518257).

165416049 is a wasteful number, since it uses less digits than its factorization.

165416049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18379567 (or 18379564 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 165416049 is about 12861.4170681150. The cubic root of 165416049 is about 548.9412679663.

The spelling of 165416049 in words is "one hundred sixty-five million, four hundred sixteen thousand, forty-nine".

Divisors: 1 3 9 18379561 55138683 165416049