Search a number
-
+
23769947124 = 22337112436043
BaseRepresentation
bin10110001000110011…
…001001101111110100
32021100120100102111000
4112020303021233310
5342140101301444
614530400243300
71501020134250
oct261063115764
967316312430
1023769947124
11a098574100
124734610530
13231a74bc91
141216c73260
15941bec469
hex588cc9bf4

23769947124 has 288 divisors, whose sum is σ = 79227653120. Its totient is φ = 6029432640.

The previous prime is 23769947083. The next prime is 23769947129. The reversal of 23769947124 is 42174996732.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23769947129) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3930447 + ... + 3936489.

Almost surely, 223769947124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23769947124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39613826560).

23769947124 is an abundant number, since it is smaller than the sum of its proper divisors (55457705996).

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

23769947124 is a wasteful number, since it uses less digits than its factorization.

23769947124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6128 (or 6109 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The spelling of 23769947124 in words is "twenty-three billion, seven hundred sixty-nine million, nine hundred forty-seven thousand, one hundred twenty-four".