Search a number
-
+
25125534720 = 21033511133141
BaseRepresentation
bin10111011001100110…
…010011110000000000
32101212001010102002000
4113121212103300000
5402424114102340
615313103224000
71546430343546
oct273146236000
971761112060
1025125534720
11a723789130
124a525a8000
1324a554a710
141304d03d96
159c0c1cd30
hex5d9993c00

25125534720 has 1408 divisors, whose sum is σ = 110927093760. Its totient is φ = 5308416000.

The previous prime is 25125534703. The next prime is 25125534743. The reversal of 25125534720 is 2743552152.

25125534720 is a `hidden beast` number, since 2 + 51 + 2 + 5 + 534 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 612817900 + ... + 612817940.

Almost surely, 225125534720 is an apocalyptic number.

25125534720 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 25125534720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55463546880).

25125534720 is an abundant number, since it is smaller than the sum of its proper divisors (85801559040).

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

25125534720 is a wasteful number, since it uses less digits than its factorization.

25125534720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The spelling of 25125534720 in words is "twenty-five billion, one hundred twenty-five million, five hundred thirty-four thousand, seven hundred twenty".