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13042035666 = 23411101233311
BaseRepresentation
bin11000010010101110…
…11010101111010010
31020122220220001120000
430021113122233102
5203202230120131
65554052030430
7641123321412
oct141127325722
936586801500
1013042035666
115592986480
12263b902416
1312caccbc8a
148ba18c642
15514ea6ce6
hex3095dabd2

13042035666 has 160 divisors (see below), whose sum is σ = 32438330496. Its totient is φ = 3883680000.

The previous prime is 13042035659. The next prime is 13042035697. The reversal of 13042035666 is 66653024031.

It is a self number, because there is not a number n which added to its sum of digits gives 13042035666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 41935651 + ... + 41935961.

Almost surely, 213042035666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13042035666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16219165248).

13042035666 is an abundant number, since it is smaller than the sum of its proper divisors (19396294830).

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

13042035666 is a wasteful number, since it uses less digits than its factorization.

13042035666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 13042035666 its reverse (66653024031), we get a palindrome (79695059697).

The spelling of 13042035666 in words is "thirteen billion, forty-two million, thirty-five thousand, six hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 101 162 198 202 233 297 303 311 466 594 606 622 699 891 909 933 1111 1398 1782 1818 1866 2097 2222 2563 2727 2799 3333 3421 4194 5126 5454 5598 6291 6666 6842 7689 8181 8397 9999 10263 12582 15378 16362 16794 18873 19998 20526 23067 23533 25191 29997 30789 31411 37746 46134 47066 50382 59994 61578 62822 69201 70599 72463 89991 92367 94233 138402 141198 144926 179982 184734 188466 207603 211797 217389 258863 277101 282699 345521 415206 423594 434778 517726 554202 565398 635391 652167 691042 776589 797093 848097 1036563 1270782 1304334 1553178 1594186 1696194 1906173 1956501 2073126 2329767 2391279 2544291 3109689 3812346 3913002 4659534 4782558 5088582 5869503 6219378 6989301 7173837 7318763 9329067 11739006 13978602 14347674 14637526 18658134 20967903 21521511 21956289 27987201 41935806 43043022 43912578 55974402 64564533 65868867 80506393 129129066 131737734 161012786 197606601 241519179 395213202 483038358 592819803 724557537 1185639606 1449115074 2173672611 4347345222 6521017833 13042035666