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25252266258 = 23229436118443
BaseRepresentation
bin10111100001001001…
…110000000100010010
32102011212121001001200
4113201021300010102
5403204040010013
615333431412030
71552526502342
oct274111600422
972155531050
1025252266258
11a78927843a
124a88b24016
1324c58905ab
141317a92d22
159cbe02e73
hex5e1270112

25252266258 has 96 divisors (see below), whose sum is σ = 58868821440. Its totient is φ = 7807605120.

The previous prime is 25252266251. The next prime is 25252266289. The reversal of 25252266258 is 85266225252.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (25252266251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1359985 + ... + 1378427.

It is an arithmetic number, because the mean of its divisors is an integer number (613216890).

Almost surely, 225252266258 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25252266258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29434410720).

25252266258 is an abundant number, since it is smaller than the sum of its proper divisors (33616555182).

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

25252266258 is a wasteful number, since it uses less digits than its factorization.

25252266258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18584 (or 18581 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 45.

The spelling of 25252266258 in words is "twenty-five billion, two hundred fifty-two million, two hundred sixty-six thousand, two hundred fifty-eight".

Divisors: 1 2 3 6 9 18 29 43 58 61 86 87 122 129 174 183 258 261 366 387 522 549 774 1098 1247 1769 2494 2623 3538 3741 5246 5307 7482 7869 10614 11223 15738 15921 18443 22446 23607 31842 36886 47214 55329 76067 110658 152134 165987 228201 331974 456402 534847 684603 793049 1069694 1125023 1369206 1586098 1604541 2250046 2379147 3209082 3375069 4758294 4813623 6750138 7137441 9627246 10125207 14274882 20250414 22998421 32625667 45996842 48375989 65251334 68995263 96751978 97877001 137990526 145127967 195754002 206985789 290255934 293631003 413971578 435383901 587262006 870767802 1402903681 2805807362 4208711043 8417422086 12626133129 25252266258