Search a number
-
+
21787930944 = 26321316317851
BaseRepresentation
bin10100010010101010…
…010111000101000000
32002020102211120102100
4110102222113011000
5324110202242234
614001554550400
71400632233363
oct242252270500
962212746370
1021787930944
11927079aaaa
124280898400
132092c30440
1410a993a0da
15877bdd399
hex512a97140

21787930944 has 168 divisors, whose sum is σ = 67671504992. Its totient is φ = 6662476800.

The previous prime is 21787930937. The next prime is 21787930951. The reversal of 21787930944 is 44903978712.

21787930944 is a `hidden beast` number, since 217 + 87 + 9 + 309 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (21787930937) and next prime (21787930951).

It is a super-2 number, since 2×217879309442 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1211619 + ... + 1229469.

Almost surely, 221787930944 is an apocalyptic number.

21787930944 is a gapful number since it is divisible by the number (24) 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 21787930944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33835752496).

21787930944 is an abundant number, since it is smaller than the sum of its proper divisors (45883574048).

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

21787930944 is a wasteful number, since it uses less digits than its factorization.

21787930944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18045 (or 18032 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 21787930944 in words is "twenty-one billion, seven hundred eighty-seven million, nine hundred thirty thousand, nine hundred forty-four".