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20540043952344 = 233272471074012887
BaseRepresentation
bin1001010101110010110100…
…00001100000000011011000
32200201121102222102202200100
410222321122001200003120
510143012002222433334
6111403544350135400
74216653302621100
oct452713201400330
980647388382610
1020540043952344
1165a9a90373624
12237896b1b1560
13b5cbc1632867
14510201810200
15259461283c99
hex12ae5a0600d8

20540043952344 has 576 divisors, whose sum is σ = 66895622876160. Its totient is φ = 5673885235200.

The previous prime is 20540043952339. The next prime is 20540043952399. The reversal of 20540043952344 is 44325934004502.

20540043952344 is a `hidden beast` number, since 2 + 0 + 5 + 40 + 0 + 43 + 9 + 523 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 20540043952344.

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 143 ways as a sum of consecutive naturals, for example, 7114665669 + ... + 7114668555.

It is an arithmetic number, because the mean of its divisors is an integer number (116138234160).

Almost surely, 220540043952344 is an apocalyptic number.

20540043952344 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 20540043952344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33447811438080).

20540043952344 is an abundant number, since it is smaller than the sum of its proper divisors (46355578923816).

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

20540043952344 is a wasteful number, since it uses less digits than its factorization.

20540043952344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3468 (or 3454 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

Adding to 20540043952344 its reverse (44325934004502), we get a palindrome (64865977956846).

The spelling of 20540043952344 in words is "twenty trillion, five hundred forty billion, forty-three million, nine hundred fifty-two thousand, three hundred forty-four".