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20061665280 = 21134519267
BaseRepresentation
bin10010101011110001…
…001011100000000000
31220210010120012010000
4102223301023200000
5312041241242110
613114411040000
71310101225026
oct225361134000
956703505100
1020061665280
118565318068
123a7a740000
131b793b8877
14d84578716
157c639c1c0
hex4abc4b800

20061665280 has 720 divisors, whose sum is σ = 77023706760. Its totient is φ = 4992565248.

The previous prime is 20061665279. The next prime is 20061665333. The reversal of 20061665280 is 8256616002.

It is a tau number, because it is divible by the number of its divisors (720).

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

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 59 ways as a sum of consecutive naturals, for example, 299427807 + ... + 299427873.

Almost surely, 220061665280 is an apocalyptic number.

20061665280 is a gapful number since it is divisible by the number (20) 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 20061665280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38511853380).

20061665280 is an abundant number, since it is smaller than the sum of its proper divisors (56962041480).

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

20061665280 is an equidigital number, since it uses as much as digits as its factorization.

20061665280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 20061665280 in words is "twenty billion, sixty-one million, six hundred sixty-five thousand, two hundred eighty".