Search a number
-
+
21042202556592 = 243271731611314957
BaseRepresentation
bin1001100100011010001010…
…00000100011100010110000
32202111121121021102221021100
410302031011000203202300
510224223412323302332
6112430353203524400
74301151252416340
oct462150500434260
982447537387240
1021042202556592
116782a47857378
12243a153089700
13b9836aa4a049
1452a63b5b6d20
1526755165867c
hex1323450238b0

21042202556592 has 960 divisors, whose sum is σ = 75351110934528. Its totient is φ = 5343916032000.

The previous prime is 21042202556587. The next prime is 21042202556597. The reversal of 21042202556592 is 29565520224012.

21042202556592 is a `hidden beast` number, since 2 + 1 + 0 + 4 + 2 + 2 + 0 + 2 + 5 + 56 + 592 = 666.

It is an interprime number because it is at equal distance from previous prime (21042202556587) and next prime (21042202556597).

It is not an unprimeable number, because it can be changed into a prime (21042202556597) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4244944578 + ... + 4244949534.

Almost surely, 221042202556592 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 21042202556592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37675555467264).

21042202556592 is an abundant number, since it is smaller than the sum of its proper divisors (54308908377936).

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

21042202556592 is a wasteful number, since it uses less digits than its factorization.

21042202556592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5218 (or 5209 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 21042202556592 in words is "twenty-one trillion, forty-two billion, two hundred two million, five hundred fifty-six thousand, five hundred ninety-two".