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2922472443744 = 2532715131130869
BaseRepresentation
bin101010100001110000111…
…011101000111101100000
3101100101102010111100122200
4222201300323220331200
5340340210421144434
610114322034533200
7421066406621220
oct52416073507540
911311363440580
102922472443744
11a27460562237
123b248a137200
131827849c9969
14a163c678080
155104835b199
hex2a870ee8f60

2922472443744 has 288 divisors, whose sum is σ = 9591989621760. Its totient is φ = 826768512000.

The previous prime is 2922472443743. The next prime is 2922472443757. The reversal of 2922472443744 is 4473442742292.

2922472443744 is a `hidden beast` number, since 2 + 9 + 2 + 24 + 7 + 244 + 374 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2922472443743) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94657942 + ... + 94688810.

It is an arithmetic number, because the mean of its divisors is an integer number (33305519520).

Almost surely, 22922472443744 is an apocalyptic number.

2922472443744 is a gapful number since it is divisible by the number (24) 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 2922472443744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4795994810880).

2922472443744 is an abundant number, since it is smaller than the sum of its proper divisors (6669517178016).

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

2922472443744 is a wasteful number, since it uses less digits than its factorization.

2922472443744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31354 (or 31343 counting only the distinct ones).

The product of its digits is 21676032, while the sum is 54.

The spelling of 2922472443744 in words is "two trillion, nine hundred twenty-two billion, four hundred seventy-two million, four hundred forty-three thousand, seven hundred forty-four".