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85058934420852 = 2236737671106213
BaseRepresentation
bin10011010101110001010011…
…100100100011010101110100
3102011011112222101110221000000
4103111301103210203111310
542122101144202431402
6500523311322151300
723626206455154450
oct2325612344432564
9364145871427000
1085058934420852
1125114322aa9337
129658ba9052530
13386003b994c52
141700c35491660
159c78a1075c1c
hex4d5c53923574

85058934420852 has 168 divisors, whose sum is σ = 255128064057216. Its totient is φ = 24296079294144.

The previous prime is 85058934420827. The next prime is 85058934420857. The reversal of 85058934420852 is 25802443985058.

It is a happy number.

85058934420852 is a `hidden beast` number, since 8 + 5 + 0 + 5 + 89 + 344 + 208 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 85058934420852.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85058934420857) 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 55 ways as a sum of consecutive naturals, for example, 76338898 + ... + 77445110.

It is an arithmetic number, because the mean of its divisors is an integer number (1518619428912).

Almost surely, 285058934420852 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85058934420852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127564032028608).

85058934420852 is an abundant number, since it is smaller than the sum of its proper divisors (170069129636364).

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

85058934420852 is a wasteful number, since it uses less digits than its factorization.

85058934420852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110009 (or 1109992 counting only the distinct ones).

The product of its (nonzero) digits is 110592000, while the sum is 63.

The spelling of 85058934420852 in words is "eighty-five trillion, fifty-eight billion, nine hundred thirty-four million, four hundred twenty thousand, eight hundred fifty-two".