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20365273344 = 283132414389
BaseRepresentation
bin10010111101110111…
…010110100100000000
31221120021212002002010
4102331313112210000
5313202002221334
613204454252520
71320445652523
oct227567264400
957507762063
1020365273344
118700736319
123b44357140
131bc727aa00
14db2a0abba
157e2d700e9
hex4bddd6900

20365273344 has 432 divisors, whose sum is σ = 62212328640. Its totient is φ = 5904138240.

The previous prime is 20365273333. The next prime is 20365273351. The reversal of 20365273344 is 44337256302.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 47 ways as a sum of consecutive naturals, for example, 228823252 + ... + 228823340.

It is an arithmetic number, because the mean of its divisors is an integer number (144010020).

Almost surely, 220365273344 is an apocalyptic number.

20365273344 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 20365273344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31106164320).

20365273344 is an abundant number, since it is smaller than the sum of its proper divisors (41847055296).

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

20365273344 is a wasteful number, since it uses less digits than its factorization.

20365273344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 39.

The spelling of 20365273344 in words is "twenty billion, three hundred sixty-five million, two hundred seventy-three thousand, three hundred forty-four".