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83464722450 = 23252136192
BaseRepresentation
bin100110110111011100…
…0101001100000010010
321222102210121012200200
41031232320221200102
52331413432104300
6102202042400030
76013222302144
oct1155670514022
9258383535620
1083464722450
113244072936a
1214214200016
137b41b9c245
14407ad92c94
15228775d200
hex136ee29812

83464722450 has 54 divisors (see below), whose sum is σ = 224258354229. Its totient is φ = 22255625040.

The previous prime is 83464722443. The next prime is 83464722463. The reversal of 83464722450 is 5422746438.

It is a happy number.

83464722450 is a `hidden beast` number, since 83 + 464 + 72 + 2 + 45 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 81795428001 + 1669294449 = 285999^2 + 40857^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=204285.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 83464722396 and 83464722405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6121741 + ... + 6135359.

Almost surely, 283464722450 is an apocalyptic number.

83464722450 is an abundant number, since it is smaller than the sum of its proper divisors (140793631779).

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

83464722450 is an equidigital number, since it uses as much as digits as its factorization.

83464722450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27256 (or 13629 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 83464722450 in words is "eighty-three billion, four hundred sixty-four million, seven hundred twenty-two thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 13619 27238 40857 68095 81714 122571 136190 204285 245142 340475 408570 612855 680950 1021425 1225710 2042850 3064275 6128550 185477161 370954322 556431483 927385805 1112862966 1669294449 1854771610 2782157415 3338588898 4636929025 5564314830 8346472245 9273858050 13910787075 16692944490 27821574150 41732361225 83464722450