Search a number
-
+
21342486528 = 21534111743
BaseRepresentation
bin10011111000000111…
…001000000000000000
32001002101122122120000
4103320013020000000
5322202134032103
613445443320000
71353613066536
oct237007100000
961071578500
1021342486528
119062306020
124177680000
13202186a16c
141066706156
1584da4eaa3
hex4f81c8000

21342486528 has 640 divisors, whose sum is σ = 75364201440. Its totient is φ = 5945425920.

The previous prime is 21342486463. The next prime is 21342486551. The reversal of 21342486528 is 82568424312.

21342486528 is a `hidden beast` number, since 2 + 1 + 3 + 42 + 4 + 86 + 528 = 666.

It is a super-2 number, since 2×213424865282 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 496336875 + ... + 496336917.

Almost surely, 221342486528 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 21342486528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37682100720).

21342486528 is an abundant number, since it is smaller than the sum of its proper divisors (54021714912).

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

21342486528 is an equidigital number, since it uses as much as digits as its factorization.

21342486528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 76 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The spelling of 21342486528 in words is "twenty-one billion, three hundred forty-two million, four hundred eighty-six thousand, five hundred twenty-eight".