Search a number
-
+
21076303248 = 243371113174761
BaseRepresentation
bin10011101000001111…
…101101110110010000
32000101211210010202000
4103220033231312100
5321131013200443
613403214154000
71344201423150
oct235017556620
960354703660
1021076303248
118a36029640
1241024b2900
131cab67c670
14103d216760
158354c08d3
hex4e83edd90

21076303248 has 1280 divisors, whose sum is σ = 89274286080. Its totient is φ = 4578508800.

The previous prime is 21076303243. The next prime is 21076303249. The reversal of 21076303248 is 84230367012.

It is a happy number.

21076303248 is a `hidden beast` number, since 2 + 10 + 7 + 630 + 3 + 2 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (21076303243) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 345513138 + ... + 345513198.

It is an arithmetic number, because the mean of its divisors is an integer number (69745536).

Almost surely, 221076303248 is an apocalyptic number.

21076303248 is a gapful number since it is divisible by the number (28) 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 21076303248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44637143040).

21076303248 is an abundant number, since it is smaller than the sum of its proper divisors (68197982832).

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

21076303248 is a wasteful number, since it uses less digits than its factorization.

21076303248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 21076303248 in words is "twenty-one billion, seventy-six million, three hundred three thousand, two hundred forty-eight".