Search a number
-
+
21934807488 = 263211192961103
BaseRepresentation
bin10100011011011010…
…101001100111000000
32002121200012200011100
4110123122221213000
5324410302314423
614024323014400
71404364534026
oct243332514700
962550180140
1021934807488
119336699580
124301b0a400
1320b74a7739
1410c1250716
15885a52343
hex51b6a99c0

21934807488 has 672 divisors, whose sum is σ = 76648665600. Its totient is φ = 5922201600.

The previous prime is 21934807471. The next prime is 21934807493. The reversal of 21934807488 is 88470843912.

It is a happy number.

21934807488 is a `hidden beast` number, since 2 + 1 + 93 + 480 + 74 + 8 + 8 = 666.

It is a super-2 number, since 2×219348074882 (a number of 21 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 95 ways as a sum of consecutive naturals, for example, 212959245 + ... + 212959347.

Almost surely, 221934807488 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 21934807488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38324332800).

21934807488 is an abundant number, since it is smaller than the sum of its proper divisors (54713858112).

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

21934807488 is a wasteful number, since it uses less digits than its factorization.

21934807488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 21934807488 in words is "twenty-one billion, nine hundred thirty-four million, eight hundred seven thousand, four hundred eighty-eight".