Search a number
-
+
21069620208 = 24357131731113
BaseRepresentation
bin10011100111110110…
…001110001111110000
32000101101012121100000
4103213312032033300
5321122310321313
613402415030000
71344060550110
oct234766161760
960341177300
1021069620208
118a3228456a
12410020b300
131caa17c7c0
14103c397040
15834b00673
hex4e7d8e3f0

21069620208 has 960 divisors, whose sum is σ = 82986688512. Its totient is φ = 5016453120.

The previous prime is 21069620207. The next prime is 21069620219. The reversal of 21069620208 is 80202696012.

It is a happy number.

21069620208 is a `hidden beast` number, since 2 + 1 + 0 + 6 + 9 + 620 + 20 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21069620207) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 186456760 + ... + 186456872.

Almost surely, 221069620208 is an apocalyptic number.

21069620208 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 21069620208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41493344256).

21069620208 is an abundant number, since it is smaller than the sum of its proper divisors (61917068304).

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

21069620208 is a wasteful number, since it uses less digits than its factorization.

21069620208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 21069620208 in words is "twenty-one billion, sixty-nine million, six hundred twenty thousand, two hundred eight".