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25303422144 = 26371113312137
BaseRepresentation
bin10111100100001100…
…111001010011000000
32102022102212000202010
4113210030321103000
5403310134002034
615342500052520
71554020353020
oct274414712300
972272760663
1025303422144
11a805138630
124aa2094140
132503361b50
1413207aba80
159d165a3e9
hex5e43394c0

25303422144 has 672 divisors, whose sum is σ = 93560237568. Its totient is φ = 5828198400.

The previous prime is 25303422119. The next prime is 25303422163. The reversal of 25303422144 is 44122430352.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 184696444 + ... + 184696580.

It is an arithmetic number, because the mean of its divisors is an integer number (139226544).

Almost surely, 225303422144 is an apocalyptic number.

25303422144 is a gapful number since it is divisible by the number (24) 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 25303422144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46780118784).

25303422144 is an abundant number, since it is smaller than the sum of its proper divisors (68256815424).

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

25303422144 is a wasteful number, since it uses less digits than its factorization.

25303422144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 25303422144 its reverse (44122430352), we get a palindrome (69425852496).

The spelling of 25303422144 in words is "twenty-five billion, three hundred three million, four hundred twenty-two thousand, one hundred forty-four".