Search a number
-
+
21986327622096 = 2433113139223311
BaseRepresentation
bin1001111111111000101110…
…01111110111000111010000
32212211212112222022121002000
410333330113033313013100
510340210444332401341
6114432213544354000
74426313460153615
oct477742717670720
985755488277060
1021986327622096
11700739283aa52
122571120775900
13c363c0088866
14560202d5850c
15281dac8988b6
hex13ff173f71d0

21986327622096 has 240 divisors, whose sum is σ = 64131474251520. Its totient is φ = 7211351669760.

The previous prime is 21986327622073. The next prime is 21986327622107. The reversal of 21986327622096 is 69022672368912.

It is a happy number.

21986327622096 is a `hidden beast` number, since 2 + 1 + 9 + 86 + 327 + 6 + 220 + 9 + 6 = 666.

It is a super-2 number, since 2×219863276220962 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 943162281 + ... + 943185591.

It is an arithmetic number, because the mean of its divisors is an integer number (267214476048).

Almost surely, 221986327622096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21986327622096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32065737125760).

21986327622096 is an abundant number, since it is smaller than the sum of its proper divisors (42145146629424).

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

21986327622096 is a wasteful number, since it uses less digits than its factorization.

21986327622096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23719 (or 23568 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 21986327622096 in words is "twenty-one trillion, nine hundred eighty-six billion, three hundred twenty-seven million, six hundred twenty-two thousand, ninety-six".