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45237235605375 = 35311192772083717
BaseRepresentation
bin10100100100100100111010…
…10110111101111101111111
312221011122012201200120012110
422102102131112331331333
521412131324303333000
6240113411003105103
712346165604141142
oct1222223526757577
9187148181616173
1045237235605375
1113461005192210
1250a7342812193
131c31b120bb688
14b256cb318059
15536ace844850
hex29249d5bdf7f

45237235605375 has 128 divisors (see below), whose sum is σ = 86752014935040. Its totient is φ = 20703802176000.

The previous prime is 45237235605323. The next prime is 45237235605377. The reversal of 45237235605375 is 57350653273254.

It is not a de Polignac number, because 45237235605375 - 212 = 45237235601279 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45237235605377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20668017 + ... + 22751733.

It is an arithmetic number, because the mean of its divisors is an integer number (677750116680).

Almost surely, 245237235605375 is an apocalyptic number.

45237235605375 is a deficient number, since it is larger than the sum of its proper divisors (41514779329665).

45237235605375 is a wasteful number, since it uses less digits than its factorization.

45237235605375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2084042 (or 2084032 counting only the distinct ones).

The product of its (nonzero) digits is 79380000, while the sum is 57.

The spelling of 45237235605375 in words is "forty-five trillion, two hundred thirty-seven billion, two hundred thirty-five million, six hundred five thousand, three hundred seventy-five".

Divisors: 1 3 5 11 15 19 25 33 55 57 75 95 125 165 209 275 277 285 375 475 627 825 831 1045 1375 1385 1425 2375 3047 3135 4125 4155 5225 5263 6925 7125 9141 15235 15675 15789 20775 26125 26315 34625 45705 57893 76175 78375 78945 103875 131575 173679 228525 289465 380875 394725 657875 868395 1142625 1447325 1973625 2083717 4341975 6251151 7236625 10418585 21709875 22920887 31255755 39590623 52092925 68762661 114604435 118771869 156278775 197953115 260464625 343813305 435496853 573022175 577189609 593859345 781393875 989765575 1306490559 1719066525 1731568827 2177484265 2865110875 2885948045 2969296725 4948827875 6349085699 6532452795 8595332625 8657844135 10887421325 10966602571 14429740225 14846483625 19047257097 31745428495 32662263975 32899807713 43289220675 54437106625 54833012855 72148701125 95236285485 120632628281 158727142475 163311319875 164499038565 216446103375 274165064275 361897884843 476181427425 603163141405 793635712375 822495192825 1370825321375 1809489424215 2380907137125 3015815707025 4112475964125 9047447121075 15079078535125 45237235605375