Search a number
-
+
25350587136 = 283271792461
BaseRepresentation
bin10111100111000000…
…110100001100000000
32102102201121020221200
4113213000310030000
5403404222242021
615351303021200
71555132302210
oct274700641400
972381536850
1025350587136
11a829822366
124ab5a3a800
132510066a24
141326b68240
159d5875126
hex5e7034300

25350587136 has 216 divisors, whose sum is σ = 88448409504. Its totient is φ = 6816890880.

The previous prime is 25350587131. The next prime is 25350587161. The reversal of 25350587136 is 63178505352.

25350587136 is a `hidden beast` number, since 2 + 5 + 3 + 50 + 587 + 13 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 25350587091 and 25350587100.

It is not an unprimeable number, because it can be changed into a prime (25350587131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 227946 + ... + 320406.

Almost surely, 225350587136 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 25350587136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44224204752).

25350587136 is an abundant number, since it is smaller than the sum of its proper divisors (63097822368).

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

25350587136 is a wasteful number, since it uses less digits than its factorization.

25350587136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92507 (or 92490 counting only the distinct ones).

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

The spelling of 25350587136 in words is "twenty-five billion, three hundred fifty million, five hundred eighty-seven thousand, one hundred thirty-six".