Search a number
-
+
25244448768 = 2113373113
BaseRepresentation
bin10111100000101011…
…111011100000000000
32102011022212212111000
4113200223323200000
5403200034330033
615332552052000
71552403163000
oct274053734000
972138785430
1025244448768
11a784919000
124a86394000
1324c4084266
141316a1a000
159cb3aba13
hex5e0afb800

25244448768 has 768 divisors, whose sum is σ = 95921280000. Its totient is φ = 6556999680.

The previous prime is 25244448751. The next prime is 25244448787. The reversal of 25244448768 is 86784444252.

It is a happy number.

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.

25244448768 is a `hidden beast` number, since 2 + 524 + 4 + 4 + 48 + 76 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2294949883 + ... + 2294949893.

It is an arithmetic number, because the mean of its divisors is an integer number (124897500).

Almost surely, 225244448768 is an apocalyptic number.

25244448768 is a gapful number since it is divisible by the number (28) 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 25244448768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47960640000).

25244448768 is an abundant number, since it is smaller than the sum of its proper divisors (70676831232).

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

25244448768 is an frugal number, since it uses more digits than its factorization.

25244448768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 23 counting only the distinct ones).

The product of its digits is 13762560, while the sum is 54.

Multiplying 25244448768 by its sum of digits (54), we get a cube (1363200233472 = 110883).

The spelling of 25244448768 in words is "twenty-five billion, two hundred forty-four million, four hundred forty-eight thousand, seven hundred sixty-eight".