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12828946158 = 233733939011
BaseRepresentation
bin10111111001010101…
…00010111011101110
31020010001220222201000
423330222202323232
5202233202234113
65521000501130
7632625146250
oct137452427356
936101828630
1012828946158
115493673146
1225a047a7a6
131295b10b02
14899b5dcd0
15501414373
hex2fcaa2eee

12828946158 has 32 divisors (see below), whose sum is σ = 32581451520. Its totient is φ = 3665413080.

The previous prime is 12828946157. The next prime is 12828946159. The reversal of 12828946158 is 85164982821.

12828946158 is a `hidden beast` number, since 12 + 8 + 2 + 8 + 9 + 4 + 615 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (12828946157) and next prime (12828946159).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12828946153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16969128 + ... + 16969883.

It is an arithmetic number, because the mean of its divisors is an integer number (1018170360).

Almost surely, 212828946158 is an apocalyptic number.

12828946158 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

12828946158 is an abundant number, since it is smaller than the sum of its proper divisors (19752505362).

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

12828946158 is a wasteful number, since it uses less digits than its factorization.

12828946158 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33939029 (or 33939023 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 54.

The spelling of 12828946158 in words is "twelve billion, eight hundred twenty-eight million, nine hundred forty-six thousand, one hundred fifty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 33939011 67878022 101817033 203634066 237573077 305451099 475146154 610902198 712719231 916353297 1425438462 1832706594 2138157693 4276315386 6414473079 12828946158