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135985940373 = 34159731072399
BaseRepresentation
bin111111010100101100…
…1001100011110010101
3111000000002112112010010
41332221121030132111
54211444400042443
6142245430350433
712552600264363
oct1765131143625
9430002475103
10135985940373
1152742577798
12224314bb419
13ca92089c9a
146820498633
15380d620733
hex1fa964c795

135985940373 has 64 divisors (see below), whose sum is σ = 193342464000. Its totient is φ = 84919127040.

The previous prime is 135985940359. The next prime is 135985940381. The reversal of 135985940373 is 373049589531.

It is not a de Polignac number, because 135985940373 - 229 = 135449069461 is a prime.

It is a super-2 number, since 2×1359859403732 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135985940323) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56683228 + ... + 56685626.

It is an arithmetic number, because the mean of its divisors is an integer number (3020976000).

Almost surely, 2135985940373 is an apocalyptic number.

It is an amenable number.

135985940373 is a deficient number, since it is larger than the sum of its proper divisors (57356523627).

135985940373 is a wasteful number, since it uses less digits than its factorization.

135985940373 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2682.

The product of its (nonzero) digits is 12247200, while the sum is 57.

The spelling of 135985940373 in words is "one hundred thirty-five billion, nine hundred eighty-five million, nine hundred forty thousand, three hundred seventy-three".

Divisors: 1 3 41 59 73 107 123 177 219 321 2399 2419 2993 4307 4387 6313 7197 7257 7811 8979 12921 13161 18939 23433 98359 141541 175127 176587 256693 258833 295077 320251 424623 460849 525381 529761 770079 776499 960753 1382547 5803181 7180207 10332493 10524413 15144887 17409543 18738589 18894809 21540621 30997479 31573239 45434661 56215767 56684427 423632213 620940367 768282149 1105576751 1270896639 1862821101 2304846447 3316730253 45328646791 135985940373