Search a number
-
+
83085187784202 = 23217271520221517
BaseRepresentation
bin10010111001000011000111…
…000110101001111000001010
3101220011212101120222010010200
4102321003013012221320022
541342231431033043302
6452412450333553030
723333464256442342
oct2271030706517012
9356155346863120
1083085187784202
1124523259528a5a
12939a571345776
133748b90523806
1416734b7609d22
15991382ce781c
hex4b90c71a9e0a

83085187784202 has 24 divisors (see below), whose sum is σ = 190607195505636. Its totient is φ = 26065941265536.

The previous prime is 83085187784201. The next prime is 83085187784233. The reversal of 83085187784202 is 20248778158038.

83085187784202 is a `hidden beast` number, since 8 + 3 + 0 + 8 + 518 + 7 + 78 + 42 + 0 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 69399412858161 + 13685774926041 = 8330631^2 + 3699429^2 .

It is a super-2 number, since 2×830851877842022 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 83085187784202.

It is not an unprimeable number, because it can be changed into a prime (83085187784201) 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, 135760110453 + ... + 135760111064.

Almost surely, 283085187784202 is an apocalyptic number.

83085187784202 is an abundant number, since it is smaller than the sum of its proper divisors (107522007721434).

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

83085187784202 is a wasteful number, since it uses less digits than its factorization.

83085187784202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271520221542 (or 271520221539 counting only the distinct ones).

The product of its (nonzero) digits is 48168960, while the sum is 63.

The spelling of 83085187784202 in words is "eighty-three trillion, eighty-five billion, one hundred eighty-seven million, seven hundred eighty-four thousand, two hundred two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 271520221517 543040443034 814560664551 1629121329102 2443681993653 4615843765789 4887363987306 9231687531578 13847531297367 27695062594734 41542593892101 83085187784202