Search a number
-
+
82414763060 = 2257284096697
BaseRepresentation
bin100110011000001001…
…1010111110000110100
321212201121220202011212
41030300103113300310
52322241134404220
6101505534220552
75645212633100
oct1146023276064
9255647822155
1082414763060
1131a51a92333
1213b80654758
137a054bc2b6
143dbb75c900
1522254ae0c5
hex13304d7c34

82414763060 has 36 divisors (see below), whose sum is σ = 201327495012. Its totient is φ = 28256489856.

The previous prime is 82414763051. The next prime is 82414763077. The reversal of 82414763060 is 6036741428.

It can be written as a sum of positive squares in 2 ways, for example, as 43619157904 + 38795605156 = 208852^2 + 196966^2 .

It is a junction number, because it is equal to n+sod(n) for n = 82414762999 and 82414763017.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 42047369 + ... + 42049328.

It is an arithmetic number, because the mean of its divisors is an integer number (5592430417).

Almost surely, 282414763060 is an apocalyptic number.

It is an amenable number.

82414763060 is an abundant number, since it is smaller than the sum of its proper divisors (118912731952).

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

82414763060 is a wasteful number, since it uses less digits than its factorization.

82414763060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84096720 (or 84096711 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 41.

The spelling of 82414763060 in words is "eighty-two billion, four hundred fourteen million, seven hundred sixty-three thousand, sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 84096697 168193394 336386788 420483485 588676879 840966970 1177353758 1681933940 2354707516 2943384395 4120738153 5886768790 8241476306 11773537580 16482952612 20603690765 41207381530 82414763060