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25258485252 = 223711213191161
BaseRepresentation
bin10111100001100001…
…011110011000000100
32102012022021222220210
4113201201132120010
5403212133012002
615334212555420
71552633403460
oct274141363004
972168258823
1025258485252
11a791835900
124a8b022b70
1324c6c5a180
1413188314a0
159cc73096c
hex5e185e604

25258485252 has 144 divisors (see below), whose sum is σ = 79731376256. Its totient is φ = 6055948800.

The previous prime is 25258485251. The next prime is 25258485283.

25258485252 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (25258485251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36552 + ... + 227712.

Almost surely, 225258485252 is an apocalyptic number.

25258485252 is a gapful number since it is divisible by the number (22) 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 25258485252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39865688128).

25258485252 is an abundant number, since it is smaller than the sum of its proper divisors (54472891004).

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

25258485252 is a wasteful number, since it uses less digits than its factorization.

25258485252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191210 (or 191197 counting only the distinct ones).

The product of its digits is 2560000, while the sum is 48.

The spelling of 25258485252 in words is "twenty-five billion, two hundred fifty-eight million, four hundred eighty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 52 66 77 78 84 91 121 132 143 154 156 182 231 242 273 286 308 363 364 429 462 484 546 572 726 847 858 924 1001 1092 1452 1573 1694 1716 2002 2541 3003 3146 3388 4004 4719 5082 6006 6292 9438 10164 11011 12012 18876 22022 33033 44044 66066 132132 191161 382322 573483 764644 1146966 1338127 2102771 2293932 2485093 2676254 4014381 4205542 4970186 5352508 6308313 7455279 8028762 8411084 9940372 12616626 14719397 14910558 16057524 17395651 23130481 25233252 27336023 29438794 29821116 34791302 44158191 46260962 52186953 54672046 58877588 69391443 69582604 82008069 88316382 92521924 104373906 109344092 138782886 161913367 164016138 176632764 191352161 208747812 277565772 300696253 323826734 328032276 382704322 485740101 574056483 601392506 647653468 765408644 902088759 971480202 1148112966 1202785012 1804177518 1942960404 2104873771 2296225932 3608355036 4209747542 6314621313 8419495084 12629242626 25258485252