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20560041216 = 2833112133161
BaseRepresentation
bin10011001001011110…
…010101010100000000
31222001212100022101000
4103021132111110000
5314101332304331
613240053012000
71325332316061
oct231136252400
958055308330
1020560041216
1187a0675300
123b99624000
131c28722680
14dd082a568
15804ee40e6
hex4c9795500

20560041216 has 864 divisors, whose sum is σ = 75509611520. Its totient is φ = 5474304000.

The previous prime is 20560041209. The next prime is 20560041221. The reversal of 20560041216 is 61214006502.

20560041216 is a `hidden beast` number, since 2 + 0 + 5 + 600 + 41 + 2 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 20560041216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 337049826 + ... + 337049886.

Almost surely, 220560041216 is an apocalyptic number.

20560041216 is a gapful number since it is divisible by the number (26) 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 20560041216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37754805760).

20560041216 is an abundant number, since it is smaller than the sum of its proper divisors (54949570304).

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

20560041216 is a wasteful number, since it uses less digits than its factorization.

20560041216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 20560041216 its reverse (61214006502), we get a palindrome (81774047718).

The spelling of 20560041216 in words is "twenty billion, five hundred sixty million, forty-one thousand, two hundred sixteen".