Search a number
-
+
16800084750690 = 23255631498322129
BaseRepresentation
bin1111010001111001001100…
…0101010111000101100010
32012111001221210101022210200
43310132103011113011202
54200223033144010230
655421504041010030
73352523522131203
oct364362305270542
965431853338720
1016800084750690
11539796a95665a
121a73b76483916
1394b319b99507
144211b26255aa
151e201e85e160
hexf4793157162

16800084750690 has 96 divisors (see below), whose sum is σ = 43762703137920. Its totient is φ = 4471564635648.

The previous prime is 16800084750689. The next prime is 16800084750749. The reversal of 16800084750690 is 9605748000861.

16800084750690 is a `hidden beast` number, since 1 + 6 + 8 + 0 + 0 + 0 + 8 + 47 + 506 + 90 = 666.

16800084750690 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×168000847506903 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 759177546 + ... + 759199674.

It is an arithmetic number, because the mean of its divisors is an integer number (455861491020).

Almost surely, 216800084750690 is an apocalyptic number.

16800084750690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16800084750690 is an abundant number, since it is smaller than the sum of its proper divisors (26962618387230).

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

16800084750690 is a wasteful number, since it uses less digits than its factorization.

16800084750690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37688 (or 37685 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 16800084750690 in words is "sixteen trillion, eight hundred billion, eighty-four million, seven hundred fifty thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 563 1126 1689 2815 3378 5067 5630 8445 10134 14983 16890 22129 25335 29966 44258 44949 50670 66387 74915 89898 110645 132774 134847 149830 199161 221290 224745 269694 331935 398322 449490 663870 674235 995805 1348470 1991610 8435429 12458627 16870858 24917254 25306287 37375881 42177145 50612574 62293135 74751762 75918861 84354290 112127643 124586270 126531435 151837722 186879405 224255286 253062870 331558807 373758810 379594305 560638215 663117614 759188610 994676421 1121276430 1657794035 1989352842 2984029263 3315588070 4973382105 5968058526 9946764210 14920146315 29840292630 186667608341 373335216682 560002825023 933338041705 1120005650046 1680008475069 1866676083410 2800014125115 3360016950138 5600028250230 8400042375345 16800084750690