Search a number
-
+
25840013472 = 25357132532
BaseRepresentation
bin11000000100001011…
…110101000010100000
32110200211112200200000
4120010023311002200
5410410020412342
615512025100000
71603224330150
oct300413650240
973624480600
1025840013472
11aa60017639
125011927600
13258a589100
141371b6a760
15a1380044c
hex6042f50a0

25840013472 has 648 divisors, whose sum is σ = 96117918624. Its totient is φ = 6686364672.

The previous prime is 25840013431. The next prime is 25840013473. The reversal of 25840013472 is 27431004852.

It is a happy number.

25840013472 is a `hidden beast` number, since 2 + 58 + 400 + 134 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a super-3 number, since 3×258400134723 (a number of 32 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (25840013473) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 487547398 + ... + 487547450.

Almost surely, 225840013472 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 25840013472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48058959312).

25840013472 is an abundant number, since it is smaller than the sum of its proper divisors (70277905152).

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

25840013472 is an equidigital number, since it uses as much as digits as its factorization.

25840013472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 25840013472 in words is "twenty-five billion, eight hundred forty million, thirteen thousand, four hundred seventy-two".