Search a number
-
+
82736031219 = 3115123960623
BaseRepresentation
bin100110100001101110…
…0111010010111110011
321220120000102212020120
41031003130322113303
52323420410444334
6102001452141323
75656163443002
oct1150334722763
9256500385216
1082736031219
11320a7372906
1214050167843
137a56c257ba
14400c2aac39
1522437be949
hex134373a5f3

82736031219 has 8 divisors (see below), whose sum is σ = 110410555392. Its totient is φ = 55109430600.

The previous prime is 82736031151. The next prime is 82736031247. The reversal of 82736031219 is 91213063728.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 82736031219 - 212 = 82736027123 is a prime.

It is a super-4 number, since 4×827360312194 (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (82736031299) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11976859 + ... + 11983764.

It is an arithmetic number, because the mean of its divisors is an integer number (13801319424).

Almost surely, 282736031219 is an apocalyptic number.

82736031219 is a deficient number, since it is larger than the sum of its proper divisors (27674524173).

82736031219 is a wasteful number, since it uses less digits than its factorization.

82736031219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23961777.

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 82736031219 in words is "eighty-two billion, seven hundred thirty-six million, thirty-one thousand, two hundred nineteen".

Divisors: 1 3 1151 3453 23960623 71881869 27578677073 82736031219