Search a number
-
+
25012000000 = 285613237
BaseRepresentation
bin10111010010110101…
…001101010100000000
32101120010111020201101
4113102311031110000
5402211033000000
615253525544144
71543551330541
oct272265152400
971503436641
1025012000000
11a675692889
124a20575054
132487b78500
1412d3bcc4c8
159b5c92e6a
hex5d2d4d500

25012000000 has 378 divisors, whose sum is σ = 69403291314. Its totient is φ = 8985600000.

The previous prime is 25011999983. The next prime is 25012000009. The reversal of 25012000000 is 21052.

It can be written as a sum of positive squares in 21 ways, for example, as 7727113216 + 17284886784 = 87904^2 + 131472^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25012000009) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 675999982 + ... + 676000018.

Almost surely, 225012000000 is an apocalyptic number.

25012000000 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 25012000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34701645657).

25012000000 is an abundant number, since it is smaller than the sum of its proper divisors (44391291314).

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

25012000000 is an frugal number, since it uses more digits than its factorization.

25012000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

Adding to 25012000000 its reverse (21052), we get a palindrome (25012021052).

The spelling of 25012000000 in words is "twenty-five billion, twelve million", and thus it is an aban number and an uban number.