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20420736336 = 243771121353
BaseRepresentation
bin10011000001001010…
…111011010101010000
31221201011012220000000
4103001022323111100
5313310202030321
613214155130000
71322021252310
oct230112732520
957634186000
1020420736336
118729a78500
123b5aa43900
131c058c9850
14dba127440
157e7b78826
hex4c12bb550

20420736336 has 960 divisors, whose sum is σ = 81789765120. Its totient is φ = 4803701760.

The previous prime is 20420736319. The next prime is 20420736373. The reversal of 20420736336 is 63363702402.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 20420736336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 385296886 + ... + 385296938.

It is an arithmetic number, because the mean of its divisors is an integer number (85197672).

Almost surely, 220420736336 is an apocalyptic number.

20420736336 is a gapful number since it is divisible by the number (26) 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 20420736336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40894882560).

20420736336 is an abundant number, since it is smaller than the sum of its proper divisors (61369028784).

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

20420736336 is a wasteful number, since it uses less digits than its factorization.

20420736336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 36.

The spelling of 20420736336 in words is "twenty billion, four hundred twenty million, seven hundred thirty-six thousand, three hundred thirty-six".