Search a number
-
+
21093495696 = 243274132192
BaseRepresentation
bin10011101001010001…
…010011001110010000
32000110001010121100100
4103221101103032100
5321144413330241
613405030452400
71344500520000
oct235121231620
960401117310
1021093495696
118a44801579
124108204100
131cb20bbc00
141041610000
15836c699b6
hex4e9453390

21093495696 has 675 divisors, whose sum is σ = 78703531569. Its totient is φ = 5270323968.

The previous prime is 21093495691. The next prime is 21093495697. The reversal of 21093495696 is 69659439012.

The square root of 21093495696 is 145236.

It is a perfect power (a square), and thus also a powerful number.

21093495696 is a `hidden beast` number, since 2 + 1 + 0 + 93 + 495 + 69 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3120339600 + 17973156096 = 55860^2 + 134064^2 .

It is not an unprimeable number, because it can be changed into a prime (21093495691) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1110183975 + ... + 1110183993.

Almost surely, 221093495696 is an apocalyptic number.

21093495696 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

21093495696 is the 145236-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21093495696

21093495696 is an abundant number, since it is smaller than the sum of its proper divisors (57610035873).

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

21093495696 is a wasteful number, since it uses less digits than its factorization.

21093495696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 21093495696 in words is "twenty-one billion, ninety-three million, four hundred ninety-five thousand, six hundred ninety-six".