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2422738999296 = 21134711189671
BaseRepresentation
bin100011010000010110011…
…111110101100000000000
322120121111211212001220000
4203100112133311200000
5304143232140434141
65052554012520000
7340015505465460
oct43202637654000
98517454761800
102422738999296
11854529005990
12331662480000
13147603b69c85
14853929ddba0
154304ad2c5b6
hex234167f5800

2422738999296 has 480 divisors, whose sum is σ = 9022226653440. Its totient is φ = 629279539200.

The previous prime is 2422738999283. The next prime is 2422738999349. The reversal of 2422738999296 is 6929998372242.

2422738999296 is a `hidden beast` number, since 24 + 227 + 3 + 8 + 9 + 99 + 296 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

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 39 ways as a sum of consecutive naturals, for example, 12678541 + ... + 12868211.

It is an arithmetic number, because the mean of its divisors is an integer number (18796305528).

Almost surely, 22422738999296 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 2422738999296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4511113326720).

2422738999296 is an abundant number, since it is smaller than the sum of its proper divisors (6599487654144).

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

2422738999296 is a wasteful number, since it uses less digits than its factorization.

2422738999296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189723 (or 189694 counting only the distinct ones).

The product of its digits is 423263232, while the sum is 72.

The spelling of 2422738999296 in words is "two trillion, four hundred twenty-two billion, seven hundred thirty-eight million, nine hundred ninety-nine thousand, two hundred ninety-six".