Search a number
-
+
25411122000 = 24325311128339
BaseRepresentation
bin10111101010100111…
…101111001101010000
32102120221111202011200
4113222213233031100
5404020221401000
615401304311200
71556465654535
oct275247571520
972527452150
1025411122000
11a85aa09080
124b12172500
13251c770284
141330c04d8c
159dad31500
hex5ea9ef350

25411122000 has 240 divisors, whose sum is σ = 96821749440. Its totient is φ = 6160224000.

The previous prime is 25411121951. The next prime is 25411122013. The reversal of 25411122000 is 22111452.

25411122000 is a `hidden beast` number, since 2 + 541 + 1 + 122 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133831 + ... + 262169.

It is an arithmetic number, because the mean of its divisors is an integer number (403423956).

Almost surely, 225411122000 is an apocalyptic number.

25411122000 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 25411122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48410874720).

25411122000 is an abundant number, since it is smaller than the sum of its proper divisors (71410627440).

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

25411122000 is a wasteful number, since it uses less digits than its factorization.

25411122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128379 (or 128360 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 25411122000 its reverse (22111452), we get a palindrome (25433233452).

The spelling of 25411122000 in words is "twenty-five billion, four hundred eleven million, one hundred twenty-two thousand".