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3385166868 = 2232293242497
BaseRepresentation
bin1100100111000101…
…1000110000010100
322201220210021221200
43021301120300110
523413100314433
61315523512500
7146613305106
oct31161306024
98656707850
103385166868
111487924a76
127a5828730
1341c431425
14241829576
1514c2c7613
hexc9c58c14

3385166868 has 36 divisors (see below), whose sum is σ = 8852019540. Its totient is φ = 1089478656.

The previous prime is 3385166867. The next prime is 3385166881. The reversal of 3385166868 is 8686615833.

3385166868 is a `hidden beast` number, since 3 + 3 + 8 + 516 + 68 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2334629124 + 1050537744 = 48318^2 + 32412^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×33851668682 = 22918709448409858848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3385166867) 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 11 ways as a sum of consecutive naturals, for example, 1620205 + ... + 1622292.

Almost surely, 23385166868 is an apocalyptic number.

It is an amenable number.

3385166868 is an abundant number, since it is smaller than the sum of its proper divisors (5466852672).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3385166868 is a wasteful number, since it uses less digits than its factorization.

3385166868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3242536 (or 3242531 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The square root of 3385166868 is about 58182.1868616160. The cubic root of 3385166868 is about 1501.5046927618.

The spelling of 3385166868 in words is "three billion, three hundred eighty-five million, one hundred sixty-six thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 3242497 6484994 9727491 12969988 19454982 29182473 38909964 58364946 94032413 116729892 188064826 282097239 376129652 564194478 846291717 1128388956 1692583434 3385166868