Search a number
-
+
20056080000 = 273541171107
BaseRepresentation
bin10010101011011011…
…110111111010000000
31220202202001102112210
4102223123313322000
5312033324030000
613114051222120
71310002603305
oct225333677200
956682042483
1020056080000
118562152830
123a788a7940
131b781b1578
14d839230ac
157c5b47350
hex4ab6f7e80

20056080000 has 640 divisors, whose sum is σ = 74334205440. Its totient is φ = 4748800000.

The previous prime is 20056079999. The next prime is 20056080001. The reversal of 20056080000 is 8065002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20056079999) and next prime (20056080001).

It is a tau number, because it is divible by the number of its divisors (640).

It is not an unprimeable number, because it can be changed into a prime (20056080001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 187439947 + ... + 187440053.

It is an arithmetic number, because the mean of its divisors is an integer number (116147196).

Almost surely, 220056080000 is an apocalyptic number.

20056080000 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 20056080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37167102720).

20056080000 is an abundant number, since it is smaller than the sum of its proper divisors (54278125440).

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

20056080000 is a wasteful number, since it uses less digits than its factorization.

20056080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The spelling of 20056080000 in words is "twenty billion, fifty-six million, eighty thousand".