Search a number
-
+
23849424720 = 243251119158489
BaseRepresentation
bin10110001101100010…
…010101011101010000
32021120002220022020200
4112031202111131100
5342320423042340
614542315535200
71503003523332
oct261542253520
967502808220
1023849424720
11a129418870
12475715a500
132331058644
141223641452
15948b9b330
hex58d895750

23849424720 has 240 divisors, whose sum is σ = 91974916800. Its totient is φ = 5477345280.

The previous prime is 23849424679. The next prime is 23849424751. The reversal of 23849424720 is 2742494832.

It is a happy number.

23849424720 is a `hidden beast` number, since 2 + 384 + 9 + 4 + 247 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71236 + ... + 229724.

It is an arithmetic number, because the mean of its divisors is an integer number (383228820).

Almost surely, 223849424720 is an apocalyptic number.

23849424720 is a gapful number since it is divisible by the number (20) 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 23849424720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45987458400).

23849424720 is an abundant number, since it is smaller than the sum of its proper divisors (68125492080).

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

23849424720 is a wasteful number, since it uses less digits than its factorization.

23849424720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158538 (or 158529 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 23849424720 in words is "twenty-three billion, eight hundred forty-nine million, four hundred twenty-four thousand, seven hundred twenty".