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20327698944 = 293272931701
BaseRepresentation
bin10010111011101000…
…000001001000000000
31221110200011002200200
4102323220001020000
5313112342331234
613201033045200
71316511406260
oct227350011000
957420132620
1020327698944
1186915020a3
123b33856800
131bbc553237
14daba297a0
157de8ebd99
hex4bba01200

20327698944 has 480 divisors, whose sum is σ = 71699696640. Its totient is φ = 5419008000.

The previous prime is 20327698927. The next prime is 20327698957. The reversal of 20327698944 is 44989672302.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28997794 + ... + 28998494.

It is an arithmetic number, because the mean of its divisors is an integer number (149374368).

Almost surely, 220327698944 is an apocalyptic number.

20327698944 is a gapful number since it is divisible by the number (24) 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 20327698944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35849848320).

20327698944 is an abundant number, since it is smaller than the sum of its proper divisors (51371997696).

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

20327698944 is a wasteful number, since it uses less digits than its factorization.

20327698944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 20327698944 in words is "twenty billion, three hundred twenty-seven million, six hundred ninety-eight thousand, nine hundred forty-four".