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116142595209 = 3247224172
BaseRepresentation
bin110110000101010100…
…0110101110010001001
3102002210011210010220100
41230022220311302021
53400330001021314
6125204414520013
711251056525204
oct1541250656211
9362704703810
10116142595209
114528a515883
121a613b06009
13ac4bca1324
14589ad1093b
15304b4eac09
hex1b0aa35c89

116142595209 has 27 divisors (see below), whose sum is σ = 171477811687. Its totient is φ = 75749630784.

The previous prime is 116142595189. The next prime is 116142595243. The reversal of 116142595209 is 902595241611.

The square root of 116142595209 is 340797.

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

116142595209 is a `hidden beast` number, since 1 + 1 + 614 + 2 + 5 + 9 + 5 + 20 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 113087601225 + 3054993984 = 336285^2 + 55272^2 .

It is not a de Polignac number, because 116142595209 - 221 = 116140498057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (116142595259) 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 26 ways as a sum of consecutive naturals, for example, 48051169 + ... + 48053585.

Almost surely, 2116142595209 is an apocalyptic number.

116142595209 is the 340797-th square number.

116142595209 is the 170399-th centered octagonal number.

It is an amenable number.

116142595209 is a deficient number, since it is larger than the sum of its proper divisors (55335216478).

116142595209 is an frugal number, since it uses more digits than its factorization.

116142595209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4934 (or 2467 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 116142595209 in words is "one hundred sixteen billion, one hundred forty-two million, five hundred ninety-five thousand, two hundred nine".

Divisors: 1 3 9 47 141 423 2209 2417 6627 7251 19881 21753 113599 340797 1022391 5339153 5841889 16017459 17525667 48052377 52577001 274568783 823706349 2471119047 12904732801 38714198403 116142595209