Search a number
-
+
21980822976 = 263273711567
BaseRepresentation
bin10100011110001010…
…001011110111000000
32002201212210111112200
4110132022023313000
5330004042313401
614033045153200
71405463625000
oct243612136700
962655714480
1021980822976
11935a668702
1243153bb800
1320c3b99338
1410c73cc000
15889ae1686
hex51e28bdc0

21980822976 has 336 divisors, whose sum is σ = 74556518400. Its totient is φ = 6187829760.

The previous prime is 21980822959. The next prime is 21980822987. The reversal of 21980822976 is 67922808912.

It is a tau number, because it is divible by the number of its divisors (336).

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, 14026545 + ... + 14028111.

It is an arithmetic number, because the mean of its divisors is an integer number (221894400).

Almost surely, 221980822976 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 21980822976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37278259200).

21980822976 is an abundant number, since it is smaller than the sum of its proper divisors (52575695424).

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

21980822976 is a wasteful number, since it uses less digits than its factorization.

21980822976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1677 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 21980822976 in words is "twenty-one billion, nine hundred eighty million, eight hundred twenty-two thousand, nine hundred seventy-six".