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67985142794811 = 32114069716873937
BaseRepresentation
bin11110111010101000001100…
…10010010100101000111011
322220201022112111022200210200
433131110012102110220323
532402332033023413221
6400331535441013243
720214523133665644
oct1735240622245073
9286638474280720
1067985142794811
111a731378814170
12775bb86924223
132bc1c823a1a78
1412b06d9b226cb
157cd6b250d426
hex3dd506494a3b

67985142794811 has 24 divisors (see below), whose sum is σ = 107130742480944. Its totient is φ = 41202101967360.

The previous prime is 67985142794773. The next prime is 67985142794851. The reversal of 67985142794811 is 11849724158976.

67985142794811 is a `hidden beast` number, since 6 + 7 + 9 + 8 + 514 + 2 + 7 + 94 + 8 + 11 = 666.

67985142794811 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 67985142794811 - 245 = 32800770705979 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 67985142794811.

It is not an unprimeable number, because it can be changed into a prime (67985142794851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4407966 + ... + 12465971.

It is an arithmetic number, because the mean of its divisors is an integer number (4463780936706).

Almost surely, 267985142794811 is an apocalyptic number.

67985142794811 is a deficient number, since it is larger than the sum of its proper divisors (39145599686133).

67985142794811 is a wasteful number, since it uses less digits than its factorization.

67985142794811 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16914651 (or 16914648 counting only the distinct ones).

The product of its digits is 243855360, while the sum is 72.

The spelling of 67985142794811 in words is "sixty-seven trillion, nine hundred eighty-five billion, one hundred forty-two million, seven hundred ninety-four thousand, eight hundred eleven".

Divisors: 1 3 9 11 33 99 40697 122091 366273 447667 1343001 4029003 16873937 50621811 151865433 185613307 556839921 1670519763 686718614089 2060155842267 6180467526801 7553904754979 22661714264937 67985142794811