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25353151304 = 2313412145021
BaseRepresentation
bin10111100111001010…
…100110001101001000
32102102220102112022212
4113213022212031020
5403410401320204
615351434004252
71555163142005
oct274712461510
972386375285
1025353151304
11a830213908
124ab6876688
132510753ba0
1413272348ac
159d5bcec6e
hex5e72a6348

25353151304 has 48 divisors (see below), whose sum is σ = 52473310260. Its totient is φ = 11415974400.

The previous prime is 25353151303. The next prime is 25353151349. The reversal of 25353151304 is 40315135352.

It can be written as a sum of positive squares in 6 ways, for example, as 795127204 + 24558024100 = 28198^2 + 156710^2 .

It is not an unprimeable number, because it can be changed into a prime (25353151301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102314 + ... + 247334.

Almost surely, 225353151304 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 25353151304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26236655130).

25353151304 is an abundant number, since it is smaller than the sum of its proper divisors (27120158956).

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

25353151304 is a wasteful number, since it uses less digits than its factorization.

25353151304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145122 (or 145077 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 32.

Adding to 25353151304 its reverse (40315135352), we get a palindrome (65668286656).

The spelling of 25353151304 in words is "twenty-five billion, three hundred fifty-three million, one hundred fifty-one thousand, three hundred four".

Divisors: 1 2 4 8 13 26 41 52 82 104 164 328 533 1066 1681 2132 3362 4264 6724 13448 21853 43706 87412 145021 174824 290042 580084 1160168 1885273 3770546 5945861 7541092 11891722 15082184 23783444 47566888 77296193 154592386 243780301 309184772 487560602 618369544 975121204 1950242408 3169143913 6338287826 12676575652 25353151304