Search a number
-
+
20521359360 = 211325415431
BaseRepresentation
bin10011000111001010…
…110001100000000000
31221222011120001211200
4103013022301200000
5314011431444420
613232151541200
71324352451015
oct230712614000
957864501750
1020521359360
118780855027
123b8868a800
131c206caab8
14dc963b70c
15801902b90
hex4c72b1800

20521359360 has 288 divisors, whose sum is σ = 72871475040. Its totient is φ = 5337907200.

The previous prime is 20521359343. The next prime is 20521359361. The reversal of 20521359360 is 6395312502.

20521359360 is a `hidden beast` number, since 2 + 0 + 5 + 2 + 1 + 3 + 593 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×205213593602 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20521359361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3775845 + ... + 3781275.

It is an arithmetic number, because the mean of its divisors is an integer number (253025955).

Almost surely, 220521359360 is an apocalyptic number.

20521359360 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 20521359360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36435737520).

20521359360 is an abundant number, since it is smaller than the sum of its proper divisors (52350115680).

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

20521359360 is a wasteful number, since it uses less digits than its factorization.

20521359360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5505 (or 5482 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 20521359360 in words is "twenty billion, five hundred twenty-one million, three hundred fifty-nine thousand, three hundred sixty".