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20322407043072 = 21236171921109
BaseRepresentation
bin1001001111011101011011…
…10110100101000000000000
32122221210200111012021000000
410213232231312211000000
510130430242200334242
6111115552424000000
74165150122460401
oct447565566450000
978853614167000
1020322407043072
116525758a76452
122342751000000
13b455193a08c4
145038772199a8
15253974778a4c
hex127badda5000

20322407043072 has 1092 divisors, whose sum is σ = 68151834005940. Its totient is φ = 6034649776128.

The previous prime is 20322407043049. The next prime is 20322407043073. The reversal of 20322407043072 is 27034070422302.

20322407043072 is a `hidden beast` number, since 20 + 32 + 2 + 40 + 70 + 430 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6558188322816 + 13764218720256 = 2560896^2 + 3710016^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20322407043073) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 18324983254 + ... + 18324984362.

Almost surely, 220322407043072 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 20322407043072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34075917002970).

20322407043072 is an abundant number, since it is smaller than the sum of its proper divisors (47829426962868).

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

20322407043072 is an equidigital number, since it uses as much as digits as its factorization.

20322407043072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 36.

Adding to 20322407043072 its reverse (27034070422302), we get a palindrome (47356477465374).

The spelling of 20322407043072 in words is "twenty trillion, three hundred twenty-two billion, four hundred seven million, forty-three thousand, seventy-two".