Search a number
-
+
24268640256 = 212337232947
BaseRepresentation
bin10110100110100001…
…100001000000000000
32022122022201122212000
4112212201201000000
5344200232442011
615052053104000
71516254016140
oct264641410000
968568648760
1024268640256
11a324018693
124853628000
132399b67283
1412631a8920
159708a8356
hex5a6861000

24268640256 has 832 divisors, whose sum is σ = 90585907200. Its totient is φ = 6267469824.

The previous prime is 24268640203. The next prime is 24268640257. The reversal of 24268640256 is 65204686242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24268640257) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 516354025 + ... + 516354071.

Almost surely, 224268640256 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 24268640256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45292953600).

24268640256 is an abundant number, since it is smaller than the sum of its proper divisors (66317266944).

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

24268640256 is a wasteful number, since it uses less digits than its factorization.

24268640256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 24268640256 in words is "twenty-four billion, two hundred sixty-eight million, six hundred forty thousand, two hundred fifty-six".