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2320842090960 = 2433564311711427
BaseRepresentation
bin100001110001011100111…
…101111110100111010000
322012212111110211210121000
4201301130331332213100
5301011041033402320
64534102524302000
7326450426165121
oct41613475764720
98185443753530
102320842090960
11815299946548
123159653a1900
1313ab15369c83
1480487a7c048
15405852e5c90
hex21c5cf7e9d0

2320842090960 has 320 divisors, whose sum is σ = 8018896757760. Its totient is φ = 616968368640.

The previous prime is 2320842090907. The next prime is 2320842090967. The reversal of 2320842090960 is 690902480232.

It is a super-2 number, since 2×23208420909602 (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2320842090967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1626377767 + ... + 1626379193.

It is an arithmetic number, because the mean of its divisors is an integer number (25059052368).

Almost surely, 22320842090960 is an apocalyptic number.

2320842090960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2320842090960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4009448378880).

2320842090960 is an abundant number, since it is smaller than the sum of its proper divisors (5698054666800).

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

2320842090960 is a wasteful number, since it uses less digits than its factorization.

2320842090960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3263 (or 3251 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 2320842090960 in words is "two trillion, three hundred twenty billion, eight hundred forty-two million, ninety thousand, nine hundred sixty".