Search a number
-
+
25642463040 = 2632547189439
BaseRepresentation
bin10111111000011010…
…001110111101000000
32110012001211002102100
4113320122032331000
5410003432304130
615440250550400
71565305224315
oct277032167500
973161732370
1025642463040
11a969558017
124b77738400
13255867ba6c
141353824d0c
15a012cbc60
hex5f868ef40

25642463040 has 168 divisors, whose sum is σ = 90076446720. Its totient is φ = 6692465664.

The previous prime is 25642462997. The next prime is 25642463047. The reversal of 25642463040 is 4036424652.

25642463040 is a `hidden beast` number, since 2 + 5 + 642 + 4 + 6 + 3 + 0 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 25642462986 and 25642463004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25642463047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40641 + ... + 230079.

Almost surely, 225642463040 is an apocalyptic number.

25642463040 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 25642463040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45038223360).

25642463040 is an abundant number, since it is smaller than the sum of its proper divisors (64433983680).

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

25642463040 is a wasteful number, since it uses less digits than its factorization.

25642463040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189509 (or 189496 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 25642463040 its reverse (4036424652), we get a palindrome (29678887692).

The spelling of 25642463040 in words is "twenty-five billion, six hundred forty-two million, four hundred sixty-three thousand, forty".