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85019891058 = 2338167192781
BaseRepresentation
bin100111100101110010…
…1001001010101110010
322010110011220221222000
41033023211021111302
52343110043003213
6103020235154430
76066605102334
oct1171345112562
9263404827860
1085019891058
113306956a583
1214588ba5a16
13802c13935b
144187737454
152329053c73
hex13cb949572

85019891058 has 32 divisors (see below), whose sum is σ = 188957205120. Its totient is φ = 28336346640.

The previous prime is 85019891029. The next prime is 85019891063.

85019891058 is a `hidden beast` number, since 8 + 501 + 9 + 89 + 1 + 0 + 58 = 666.

85019891058 is nontrivially palindromic in base 10.

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

It is a junction number, because it is equal to n+sod(n) for n = 85019890995 and 85019891013.

It is an unprimeable number.

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, 344628 + ... + 537408.

It is an arithmetic number, because the mean of its divisors is an integer number (5904912660).

Almost surely, 285019891058 is an apocalyptic number.

85019891058 is an abundant number, since it is smaller than the sum of its proper divisors (103937314062).

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

85019891058 is a wasteful number, since it uses less digits than its factorization.

85019891058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200959 (or 200953 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 54.

The spelling of 85019891058 in words is "eighty-five billion, nineteen million, eight hundred ninety-one thousand, fifty-eight".

Divisors: 1 2 3 6 9 18 27 54 8167 16334 24501 49002 73503 147006 192781 220509 385562 441018 578343 1156686 1735029 3470058 5205087 10410174 1574442427 3148884854 4723327281 9446654562 14169981843 28339963686 42509945529 85019891058