Search a number
-
+
21969562608 = 2434731191409
BaseRepresentation
bin10100011101011111…
…001110101111110000
32002201002121102020000
4110131133032233300
5324443202000413
614032003550000
71405266125640
oct243537165760
962632542200
1021969562608
119354277614
12431168b300
1320c1755bb6
1410c5ada520
15888b1a073
hex51d7cebf0

21969562608 has 400 divisors, whose sum is σ = 75591352320. Its totient is φ = 6027955200.

The previous prime is 21969562561. The next prime is 21969562613. The reversal of 21969562608 is 80626596912.

It is a happy number.

21969562608 is a `hidden beast` number, since 2 + 1 + 9 + 6 + 9 + 5 + 626 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 53715108 + ... + 53715516.

Almost surely, 221969562608 is an apocalyptic number.

21969562608 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 21969562608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37795676160).

21969562608 is an abundant number, since it is smaller than the sum of its proper divisors (53621789712).

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

21969562608 is a wasteful number, since it uses less digits than its factorization.

21969562608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 21969562608 in words is "twenty-one billion, nine hundred sixty-nine million, five hundred sixty-two thousand, six hundred eight".