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85168012993 = 737443742289
BaseRepresentation
bin100111101010001101…
…0001011111011000001
322010211111122100001121
41033110122023323001
52343411002403433
6103043050032241
76103354110610
oct1172432137301
9263744570047
1085168012993
11331351397a8
121460a718681
138053a2b47b
14419d293877
152337061c2d
hex13d468bec1

85168012993 has 16 divisors (see below), whose sum is σ = 100191335040. Its totient is φ = 70867719936.

The previous prime is 85168012949. The next prime is 85168012997. The reversal of 85168012993 is 39921086158.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-85168012993 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 85168012993.

It is not an unprimeable number, because it can be changed into a prime (85168012997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256408 + ... + 485881.

It is an arithmetic number, because the mean of its divisors is an integer number (6261958440).

Almost surely, 285168012993 is an apocalyptic number.

It is an amenable number.

85168012993 is a deficient number, since it is larger than the sum of its proper divisors (15023322047).

85168012993 is a wasteful number, since it uses less digits than its factorization.

85168012993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742776.

The product of its (nonzero) digits is 933120, while the sum is 52.

The spelling of 85168012993 in words is "eighty-five billion, one hundred sixty-eight million, twelve thousand, nine hundred ninety-three".

Divisors: 1 7 37 259 443 3101 16391 114737 742289 5196023 27464693 192252851 328834027 2301838189 12166858999 85168012993