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116175609 = 32112106681
BaseRepresentation
bin1101110110010…
…11001011111001
322002121022222100
412323023023321
5214220104414
615310014013
72610322254
oct673131371
9262538870
10116175609
115a63a500
1232aa7309
131b0b8284
141160209b
15a2ec609
hex6ecb2f9

116175609 has 18 divisors (see below), whose sum is σ = 184453178. Its totient is φ = 70408800.

The previous prime is 116175541. The next prime is 116175611. The reversal of 116175609 is 906571611.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 65367225 + 50808384 = 8085^2 + 7128^2 .

It is not a de Polignac number, because 116175609 - 29 = 116175097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (116173609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 52252 + ... + 54429.

Almost surely, 2116175609 is an apocalyptic number.

It is an amenable number.

116175609 is a deficient number, since it is larger than the sum of its proper divisors (68277569).

116175609 is a wasteful number, since it uses less digits than its factorization.

116175609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106709 (or 106695 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 116175609 is about 10778.4789743266. The cubic root of 116175609 is about 487.9458768807.

The spelling of 116175609 in words is "one hundred sixteen million, one hundred seventy-five thousand, six hundred nine".

Divisors: 1 3 9 11 33 99 121 363 1089 106681 320043 960129 1173491 3520473 10561419 12908401 38725203 116175609