Search a number
-
+
23846068224 = 21337113
BaseRepresentation
bin10110001101010101…
…100010000000000000
32021112212120210000000
4112031111202000000
5342314043140344
614542120000000
71502633143536
oct261525420000
967485523000
1023846068224
11a127536000
124756000000
132330451954
14122300a156
15948736a69
hex58d562000

23846068224 has 448 divisors, whose sum is σ = 78669855360. Its totient is φ = 7226081280.

The previous prime is 23846068193. The next prime is 23846068231. The reversal of 23846068224 is 42286064832.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

23846068224 is a `hidden beast` number, since 2 + 38 + 4 + 606 + 8 + 2 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 23846068224.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2167824379 + ... + 2167824389.

Almost surely, 223846068224 is an apocalyptic number.

23846068224 is a gapful number since it is divisible by the number (24) 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 23846068224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39334927680).

23846068224 is an abundant number, since it is smaller than the sum of its proper divisors (54823787136).

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

23846068224 is an frugal number, since it uses more digits than its factorization.

23846068224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 23846068224 in words is "twenty-three billion, eight hundred forty-six million, sixty-eight thousand, two hundred twenty-four".