Search a number
-
+
2316336336132 = 2237131723311391259
BaseRepresentation
bin100001101101010000011…
…001111000110100000100
322012102212110110201221120
4201231100121320310010
5300422324100224012
64532035450313540
7326230654665510
oct41552031706404
98172773421846
102316336336132
11813397525225
12314b084288b0
1313a577a29c60
148017b4b5140
15403be96c58c
hex21b50678d04

2316336336132 has 768 divisors, whose sum is σ = 7647304089600. Its totient is φ = 527978373120.

The previous prime is 2316336336131. The next prime is 2316336336133.

2316336336132 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (2316336336131) and next prime (2316336336133).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2316336336131) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 1839821719 + ... + 1839822977.

It is an arithmetic number, because the mean of its divisors is an integer number (9957427200).

Almost surely, 22316336336132 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 2316336336132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3823652044800).

2316336336132 is an abundant number, since it is smaller than the sum of its proper divisors (5330967753468).

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

2316336336132 is a wasteful number, since it uses less digits than its factorization.

2316336336132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496 (or 1494 counting only the distinct ones).

The product of its digits is 629856, while the sum is 42.

The spelling of 2316336336132 in words is "two trillion, three hundred sixteen billion, three hundred thirty-six million, three hundred thirty-six thousand, one hundred thirty-two".