Search a number
-
+
25539507198 = 234298365497
BaseRepresentation
bin10111110010010001…
…011111001111111110
32102220220002101120000
4113302101133033332
5404301103212243
615422132135130
71562615141442
oct276221371776
972826071500
1025539507198
11a916427847
124b491674a6
132540241a4a
141343ca4822
159e72415d3
hex5f245f3fe

25539507198 has 80 divisors (see below), whose sum is σ = 59914950480. Its totient is φ = 8120456064.

The previous prime is 25539507193. The next prime is 25539507277. The reversal of 25539507198 is 89170593552.

25539507198 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×255395071982 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25539507193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 357186 + ... + 422682.

It is an arithmetic number, because the mean of its divisors is an integer number (748936881).

Almost surely, 225539507198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25539507198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29957475240).

25539507198 is an abundant number, since it is smaller than the sum of its proper divisors (34375443282).

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

25539507198 is a wasteful number, since it uses less digits than its factorization.

25539507198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65623 (or 65614 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 54.

The spelling of 25539507198 in words is "twenty-five billion, five hundred thirty-nine million, five hundred seven thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 83 87 162 166 174 249 261 498 522 747 783 1494 1566 2241 2349 2407 4482 4698 4814 6723 7221 13446 14442 21663 43326 64989 65497 129978 130994 194967 196491 389934 392982 589473 1178946 1768419 1899413 3536838 3798826 5305257 5436251 5698239 10610514 10872502 11396478 16308753 17094717 32617506 34189434 48926259 51284151 97852518 102568302 146778777 153852453 157651279 293557554 307704906 315302558 440336331 472953837 880672662 945907674 1418861511 2837723022 4256584533 8513169066 12769753599 25539507198