Search a number
-
+
25406905725 = 32522315731271
BaseRepresentation
bin10111101010010111…
…101001110101111101
32102120122120112112100
4113222113221311331
5404013131440400
615401034055313
71556415064305
oct275227516575
972518515470
1025406905725
11a858599353
124b1087a539
13251b925136
141330428605
159da79c100
hex5ea5e9d7d

25406905725 has 72 divisors (see below), whose sum is σ = 47789119872. Its totient is φ = 12878236800.

The previous prime is 25406905723. The next prime is 25406905751. The reversal of 25406905725 is 52750960452.

It is not a de Polignac number, because 25406905725 - 21 = 25406905723 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25406905723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 796840 + ... + 828110.

It is an arithmetic number, because the mean of its divisors is an integer number (663737776).

Almost surely, 225406905725 is an apocalyptic number.

25406905725 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

25406905725 is a deficient number, since it is larger than the sum of its proper divisors (22382214147).

25406905725 is a wasteful number, since it uses less digits than its factorization.

25406905725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31467 (or 31459 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 25406905725 in words is "twenty-five billion, four hundred six million, nine hundred five thousand, seven hundred twenty-five".

Divisors: 1 3 5 9 15 23 25 45 69 75 115 157 207 225 345 471 575 785 1035 1413 1725 2355 3611 3925 5175 7065 10833 11775 18055 31271 32499 35325 54165 90275 93813 156355 162495 270825 281439 469065 719233 781775 812475 1407195 2157699 2345325 3596165 4909547 6473097 7035975 10788495 14728641 17980825 24547735 32365485 44185923 53942475 73643205 112919581 122738675 161827425 220929615 338758743 368216025 564597905 1016276229 1104648075 1693793715 2822989525 5081381145 8468968575 25406905725