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20403827312 = 24112171967487
BaseRepresentation
bin10011000000001010…
…011011001001110000
31221122222101211011212
4103000022123021300
5313241334433222
613212352455252
71321424446001
oct230012331160
957588354155
1020403827312
118720479500
123b5524a528
131c022592cb
14db7ba51a8
157e64386e2
hex4c029b270

20403827312 has 240 divisors, whose sum is σ = 49254347520. Its totient is φ = 8129341440.

The previous prime is 20403827203. The next prime is 20403827347. The reversal of 20403827312 is 21372830402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41896733 + ... + 41897219.

It is an arithmetic number, because the mean of its divisors is an integer number (205226448).

Almost surely, 220403827312 is an apocalyptic number.

20403827312 is a gapful number since it is divisible by the number (22) 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 20403827312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24627173760).

20403827312 is an abundant number, since it is smaller than the sum of its proper divisors (28850520208).

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

20403827312 is a wasteful number, since it uses less digits than its factorization.

20403827312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The spelling of 20403827312 in words is "twenty billion, four hundred three million, eight hundred twenty-seven thousand, three hundred twelve".