Search a number
-
+
21786964992 = 21032131719563
BaseRepresentation
bin10100010010100110…
…101011010000000000
32002020101000111101100
4110102212223100000
5324104430334432
614001522134400
71400621101242
oct242246532000
962211014340
1021786964992
1192701a02a1
1242804b1400
132092982880
1410a9768092
15877a9c07c
hex5129ab400

21786964992 has 528 divisors, whose sum is σ = 75643364160. Its totient is φ = 5966659584.

The previous prime is 21786964963. The next prime is 21786964999. The reversal of 21786964992 is 29946968712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21786964999) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38697703 + ... + 38698265.

Almost surely, 221786964992 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 21786964992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37821682080).

21786964992 is an abundant number, since it is smaller than the sum of its proper divisors (53856399168).

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

21786964992 is a wasteful number, since it uses less digits than its factorization.

21786964992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 617 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 63.

The spelling of 21786964992 in words is "twenty-one billion, seven hundred eighty-six million, nine hundred sixty-four thousand, nine hundred ninety-two".