Search a number
-
+
25054141300992 = 2835937429827
BaseRepresentation
bin1011011001001010111110…
…01100010100000100000000
310021201011010011222200200000
411230211133030110010000
511240441340133112432
6125141414050400000
75164046656162446
oct554453714240400
9107634104880600
1025054141300992
117a8a446671351
1229877b1290000
1310c97980b097b
146288ac34ab96
152d6ab07d457c
hex16c95f314100

25054141300992 has 216 divisors, whose sum is σ = 74992844218656. Its totient is φ = 8342448132096.

The previous prime is 25054141300967. The next prime is 25054141301029. The reversal of 25054141300992 is 29900314145052.

It is a happy number.

25054141300992 is a `hidden beast` number, since 2 + 5 + 0 + 541 + 4 + 13 + 0 + 0 + 9 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58073983 + ... + 58503809.

Almost surely, 225054141300992 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 25054141300992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37496422109328).

25054141300992 is an abundant number, since it is smaller than the sum of its proper divisors (49938702917664).

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

25054141300992 is an frugal number, since it uses more digits than its factorization.

25054141300992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430795 (or 430769 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 25054141300992 in words is "twenty-five trillion, fifty-four billion, one hundred forty-one million, three hundred thousand, nine hundred ninety-two".