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20420421432 = 23331142919207
BaseRepresentation
bin10011000001001001…
…101110011100111000
31221201010121220000220
4103001021232130320
5313310111441212
613214144300040
71322015501235
oct230111563470
957633556026
1020420421432
118729882954
123b5a911620
131c05819408
14dba08478c
157e7b1538c
hex4c126e738

20420421432 has 64 divisors (see below), whose sum is σ = 52737484800. Its totient is φ = 6582280320.

The previous prime is 20420421367. The next prime is 20420421433. The reversal of 20420421432 is 23412402402.

It is a super-2 number, since 2×204204214322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20420421433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1053573 + ... + 1072779.

It is an arithmetic number, because the mean of its divisors is an integer number (824023200).

Almost surely, 220420421432 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 20420421432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26368742400).

20420421432 is an abundant number, since it is smaller than the sum of its proper divisors (32317063368).

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

20420421432 is a wasteful number, since it uses less digits than its factorization.

20420421432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20676 (or 20672 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 20420421432 its reverse (23412402402), we get a palindrome (43832823834).

The spelling of 20420421432 in words is "twenty billion, four hundred twenty million, four hundred twenty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 1429 2858 4287 5716 8574 11432 17148 19207 34296 38414 44299 57621 76828 88598 115242 132897 153656 177196 230484 265794 354392 460968 531588 595417 1063176 1190834 1786251 2381668 3572502 4763336 7145004 14290008 27446803 54893606 82340409 109787212 164680818 219574424 329361636 658723272 850850893 1701701786 2552552679 3403403572 5105105358 6806807144 10210210716 20420421432