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82948216973868 = 223211416720181989
BaseRepresentation
bin10010110111000011100011…
…000000011110101000101100
3101212200202211212020000102100
4102313003203000132220230
541333010422021130433
6452225515042055100
723320545066660651
oct2267034300365054
9355622755200370
1082948216973868
1124480161031954
129377b0604a490
133738ca23c624c
14166aa02421c28
1598ca17ed3b13
hex4b70e301ea2c

82948216973868 has 36 divisors (see below), whose sum is σ = 209676506523120. Its totient is φ = 27649162104096.

The previous prime is 82948216973863. The next prime is 82948216973873. The reversal of 82948216973868 is 86837961284928.

82948216973868 is a `hidden beast` number, since 8 + 2 + 9 + 482 + 1 + 6 + 9 + 73 + 8 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (82948216973863) and next prime (82948216973873).

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

It is not an unprimeable number, because it can be changed into a prime (82948216973863) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5980983 + ... + 14201006.

It is an arithmetic number, because the mean of its divisors is an integer number (5824347403420).

Almost surely, 282948216973868 is an apocalyptic number.

It is an amenable number.

82948216973868 is an abundant number, since it is smaller than the sum of its proper divisors (126728289549252).

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

82948216973868 is a wasteful number, since it uses less digits than its factorization.

82948216973868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20296166 (or 20296161 counting only the distinct ones).

The product of its digits is 4013162496, while the sum is 81.

The spelling of 82948216973868 in words is "eighty-two trillion, nine hundred forty-eight billion, two hundred sixteen million, nine hundred seventy-three thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 114167 228334 342501 456668 685002 1027503 1370004 2055006 4110012 20181989 40363978 60545967 80727956 121091934 181637901 242183868 363275802 726551604 2304117138163 4608234276326 6912351414489 9216468552652 13824702828978 20737054243467 27649405657956 41474108486934 82948216973868