Search a number
-
+
11696422500 = 223254721032
BaseRepresentation
bin10101110010010100…
…10011111001100100
31010012010212211022100
422321022103321210
5142423241010000
65212342532100
7562563644100
oct127112237144
933163784270
1011696422500
114a62364384
122325137030
1311452b3579
147cd596900
15486ca6a00
hex2b9293e64

11696422500 has 405 divisors, whose sum is σ = 43398866511. Its totient is φ = 2647512000.

The previous prime is 11696422447. The next prime is 11696422513. The reversal of 11696422500 is 522469611.

The square root of 11696422500 is 108150.

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

11696422500 is a `hidden beast` number, since 1 + 1 + 6 + 9 + 642 + 2 + 5 + 0 + 0 = 666.

11696422500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 916999524 + 10779422976 = 30282^2 + 103824^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 113557449 + ... + 113557551.

Almost surely, 211696422500 is an apocalyptic number.

11696422500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11696422500 is the 108150-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11696422500

11696422500 is an abundant number, since it is smaller than the sum of its proper divisors (31702444011).

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

11696422500 is a wasteful number, since it uses less digits than its factorization.

11696422500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Multiplying 11696422500 by its sum of digits (36), we get a square (421071210000 = 6489002).

11696422500 divided by its sum of digits (36) gives a square (324900625 = 180252).

It can be divided in two parts, 116964 and 22500, that multiplied together give a square (2631690000 = 513002).

The spelling of 11696422500 in words is "eleven billion, six hundred ninety-six million, four hundred twenty-two thousand, five hundred".