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20244138622632 = 233229163148140163
BaseRepresentation
bin1001001101001011101001…
…01100001111111010101000
32122200022122211100112121100
410212211310230033322220
510123134443441411012
6111020010124041400
74156406425045611
oct446456454177250
978608584315540
1020244138622632
1164a5544541761
12232b549093260
13b3b024c212a2
144ddb70426c08
152518e32ea8dc
hex126974b0fea8

20244138622632 has 192 divisors, whose sum is σ = 57106412251200. Its totient is φ = 6470850032640.

The previous prime is 20244138622627. The next prime is 20244138622637. The reversal of 20244138622632 is 23622683144202.

20244138622632 is a `hidden beast` number, since 2 + 0 + 2 + 4 + 4 + 1 + 3 + 8 + 6 + 2 + 2 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (20244138622627) and next prime (20244138622637).

It is not an unprimeable number, because it can be changed into a prime (20244138622637) 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 47 ways as a sum of consecutive naturals, for example, 504029383 + ... + 504069545.

It is an arithmetic number, because the mean of its divisors is an integer number (297429230475).

Almost surely, 220244138622632 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 20244138622632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28553206125600).

20244138622632 is an abundant number, since it is smaller than the sum of its proper divisors (36862273628568).

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

20244138622632 is a wasteful number, since it uses less digits than its factorization.

20244138622632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41848 (or 41841 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 20244138622632 in words is "twenty trillion, two hundred forty-four billion, one hundred thirty-eight million, six hundred twenty-two thousand, six hundred thirty-two".