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135803060406 = 233131741277549
BaseRepresentation
bin111111001111001111…
…1100100000010110110
3110222112100102020222000
41332132133210002312
54211111040413111
6142215334520130
712545216652546
oct1763637440266
9428470366860
10135803060406
1152659318322
12223a0206046
13ca632182a0
146804091326
1537ec548c56
hex1f9e7e40b6

135803060406 has 128 divisors (see below), whose sum is σ = 352510704000. Its totient is φ = 38368235520.

The previous prime is 135803060377. The next prime is 135803060411. The reversal of 135803060406 is 604060308531.

135803060406 is a `hidden beast` number, since 1 + 3 + 580 + 30 + 6 + 0 + 40 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 350520 + ... + 628068.

It is an arithmetic number, because the mean of its divisors is an integer number (2753989875).

Almost surely, 2135803060406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135803060406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176255352000).

135803060406 is an abundant number, since it is smaller than the sum of its proper divisors (216707643594).

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

135803060406 is a wasteful number, since it uses less digits than its factorization.

135803060406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277631 (or 277625 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 135803060406 its reverse (604060308531), we get a palindrome (739863368937).

The spelling of 135803060406 in words is "one hundred thirty-five billion, eight hundred three million, sixty thousand, four hundred six".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 41 51 54 78 82 102 117 123 153 221 234 246 306 351 369 442 459 533 663 697 702 738 918 1066 1107 1326 1394 1599 1989 2091 2214 3198 3978 4182 4797 5967 6273 9061 9594 11934 12546 14391 18122 18819 27183 28782 37638 54366 81549 163098 244647 277549 489294 555098 832647 1665294 2497941 3608137 4718333 4995882 7216274 7493823 9436666 10824411 11379509 14154999 14987646 21648822 22759018 28309998 32473233 34138527 42464997 61338329 64946466 68277054 84929994 97419699 102415581 122676658 127394991 147933617 184014987 193451653 194839398 204831162 254789982 295867234 307246743 368029974 386903306 443800851 552044961 580354959 614493486 887601702 1104089922 1160709918 1331402553 1656134883 1741064877 2514871489 2662805106 3312269766 3482129754 3994207659 5029742978 5223194631 7544614467 7988415318 10446389262 15089228934 22633843401 45267686802 67901530203 135803060406