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20407642040 = 235868158771
BaseRepresentation
bin10011000000011000…
…111110011110111000
31221200020120122000002
4103000120332132320
5313243324021130
613213010332132
71321502044442
oct230030763670
957606518002
1020407642040
118722644575
123b5658a048
131c02c93746
14db84b9492
157e693db45
hex4c063e7b8

20407642040 has 32 divisors (see below), whose sum is σ = 45923265360. Its totient is φ = 8161977600.

The previous prime is 20407642007. The next prime is 20407642043. The reversal of 20407642040 is 4024670402.

It is a junction number, because it is equal to n+sod(n) for n = 20407641994 and 20407642012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20407642043) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 317855 + ... + 376625.

Almost surely, 220407642040 is an apocalyptic number.

20407642040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20407642040 is an abundant number, since it is smaller than the sum of its proper divisors (25515623320).

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

20407642040 is a wasteful number, since it uses less digits than its factorization.

20407642040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67463 (or 67459 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 29.

The spelling of 20407642040 in words is "twenty billion, four hundred seven million, six hundred forty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 8681 17362 34724 43405 58771 69448 86810 117542 173620 235084 293855 347240 470168 587710 1175420 2350840 510191051 1020382102 2040764204 2550955255 4081528408 5101910510 10203821020 20407642040