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45088181268 = 223132194092861
BaseRepresentation
bin101001111111011101…
…110000110000010100
311022101021100221000120
4221333131300300110
51214320033300033
632414020111540
73154220134344
oct517735606024
9138337327016
1045088181268
1118138114a29
1288a3b355b0
134337277300
14227a264d24
15128d55b1b3
hexa7f770c14

45088181268 has 144 divisors (see below), whose sum is σ = 120252081600. Its totient is φ = 13106396160.

The previous prime is 45088181263. The next prime is 45088181279. The reversal of 45088181268 is 86218188054.

It is a self number, because there is not a number n which added to its sum of digits gives 45088181268.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45088181263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15758158 + ... + 15761018.

It is an arithmetic number, because the mean of its divisors is an integer number (835083900).

Almost surely, 245088181268 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 45088181268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60126040800).

45088181268 is an abundant number, since it is smaller than the sum of its proper divisors (75163900332).

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

45088181268 is a wasteful number, since it uses less digits than its factorization.

45088181268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3322 (or 3307 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 51.

The spelling of 45088181268 in words is "forty-five billion, eighty-eight million, one hundred eighty-one thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 169 228 247 338 409 494 507 676 741 818 988 1014 1227 1482 1636 2028 2454 2861 2964 3211 4908 5317 5722 6422 7771 8583 9633 10634 11444 12844 15542 15951 17166 19266 21268 23313 31084 31902 34332 37193 38532 46626 54359 63804 69121 74386 93252 101023 108718 111579 138242 148772 163077 202046 207363 217436 223158 276484 303069 326154 404092 414726 446316 483509 606138 652308 706667 829452 967018 1170149 1212276 1313299 1413334 1450527 1934036 2120001 2340298 2626598 2826668 2901054 3510447 3939897 4240002 4680596 5253196 5802108 7020894 7879794 8480004 9186671 14041788 15211937 15759588 18373342 22232831 27560013 30423874 36746684 44465662 45635811 55120026 60847748 66698493 88931324 91271622 110240052 133396986 182543244 197755181 266793972 289026803 395510362 578053606 593265543 791020724 867080409 1156107212 1186531086 1734160818 2373062172 3468321636 3757348439 7514696878 11272045317 15029393756 22544090634 45088181268