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20594442240 = 2143359311
BaseRepresentation
bin10011001011100001…
…100100000000000000
31222011021002001201000
4103023201210000000
5314134134122430
613243322212000
71326230604441
oct231341440000
958137061630
1020594442240
1188090312a9
123ba9054000
131c328a88c8
14dd52232c8
1580803be60
hex4cb864000

20594442240 has 240 divisors, whose sum is σ = 73230312960. Its totient is φ = 5491261440.

The previous prime is 20594442221. The next prime is 20594442283. The reversal of 20594442240 is 4224449502.

20594442240 is a `hidden beast` number, since 2 + 0 + 594 + 4 + 4 + 22 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 20594442195 and 20594442204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2207185 + ... + 2216495.

It is an arithmetic number, because the mean of its divisors is an integer number (305126304).

Almost surely, 220594442240 is an apocalyptic number.

20594442240 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 20594442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36615156480).

20594442240 is an abundant number, since it is smaller than the sum of its proper divisors (52635870720).

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

20594442240 is an frugal number, since it uses more digits than its factorization.

20594442240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9353 (or 9321 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 20594442240 in words is "twenty billion, five hundred ninety-four million, four hundred forty-two thousand, two hundred forty".