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20332004040 = 233251274391013
BaseRepresentation
bin10010111011111000…
…011100001011001000
31221110222020211011200
4102323320130023020
5313114443112130
613201305224200
71316563116465
oct227370341310
957428224150
1020332004040
118693982627
123b35192060
131bc03cc92a
14dac42a66c
157dee9c760
hex4bbe1c2c8

20332004040 has 192 divisors, whose sum is σ = 66816921600. Its totient is φ = 5361624576.

The previous prime is 20332004027. The next prime is 20332004059. The reversal of 20332004040 is 4040023302.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 20070574 + ... + 20071586.

It is an arithmetic number, because the mean of its divisors is an integer number (348004800).

Almost surely, 220332004040 is an apocalyptic number.

20332004040 is a gapful number since it is divisible by the number (20) 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 20332004040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33408460800).

20332004040 is an abundant number, since it is smaller than the sum of its proper divisors (46484917560).

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

20332004040 is a wasteful number, since it uses less digits than its factorization.

20332004040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1596 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 20332004040 its reverse (4040023302), we get a palindrome (24372027342).

The spelling of 20332004040 in words is "twenty billion, three hundred thirty-two million, four thousand, forty".