Search a number
-
+
21231492057360 = 2433513233110091051
BaseRepresentation
bin1001101001111010101111…
…00010101100100100010000
32210011201012012000212221000
410310331113202230210100
510240324043431313420
6113053340210502000
74320632110551144
oct464752742544420
983151165025830
1021231492057360
116846252842a12
12246a97b894900
13bb01761047c0
14535877027224
1526c42e676690
hex134f578ac910

21231492057360 has 1280 divisors, whose sum is σ = 84996159897600. Its totient is φ = 4828336128000.

The previous prime is 21231492057341. The next prime is 21231492057361. The reversal of 21231492057360 is 6375029413212.

It is a happy number.

21231492057360 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 14 + 9 + 2 + 0 + 573 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (21231492057361) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 20201228835 + ... + 20201229885.

It is an arithmetic number, because the mean of its divisors is an integer number (66403249920).

Almost surely, 221231492057360 is an apocalyptic number.

21231492057360 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 21231492057360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42498079948800).

21231492057360 is an abundant number, since it is smaller than the sum of its proper divisors (63764667840240).

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

21231492057360 is a wasteful number, since it uses less digits than its factorization.

21231492057360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2149 (or 2137 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 21231492057360 in words is "twenty-one trillion, two hundred thirty-one billion, four hundred ninety-two million, fifty-seven thousand, three hundred sixty".