Search a number
-
+
17986992966 = 23243471074621
BaseRepresentation
bin10000110000000110…
…111011101101000110
31201102112200220201200
4100300012323231012
5243314132233331
612132455403330
71204506626505
oct206006735506
951375626650
1017986992966
1176a0209048
12359b983546
131908628107
14c28c0283c
157041895e6
hex4301bbb46

17986992966 has 96 divisors (see below), whose sum is σ = 41116128768. Its totient is φ = 5676834240.

The previous prime is 17986992937. The next prime is 17986992983. The reversal of 17986992966 is 66929968971.

17986992966 is a `hidden beast` number, since 179 + 86 + 99 + 296 + 6 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 17986992894 and 17986992903.

It is a congruent number.

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, 3890136 + ... + 3894756.

It is an arithmetic number, because the mean of its divisors is an integer number (428293008).

Almost surely, 217986992966 is an apocalyptic number.

17986992966 is an abundant number, since it is smaller than the sum of its proper divisors (23129135802).

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

17986992966 is a wasteful number, since it uses less digits than its factorization.

17986992966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4826 (or 4823 counting only the distinct ones).

The product of its digits is 158723712, while the sum is 72.

The spelling of 17986992966 in words is "seventeen billion, nine hundred eighty-six million, nine hundred ninety-two thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 18 43 47 86 94 107 129 141 214 258 282 321 387 423 642 774 846 963 1926 2021 4042 4601 4621 5029 6063 9202 9242 10058 12126 13803 13863 15087 18189 27606 27726 30174 36378 41409 41589 45261 82818 83178 90522 198703 216247 217187 397406 432494 434374 494447 596109 648741 651561 988894 1192218 1297482 1303122 1483341 1788327 1946223 1954683 2966682 3576654 3892446 3909366 4450023 8900046 9339041 18678082 21261221 23239009 28017123 42522442 46478018 56034246 63783663 69717027 84051369 127567326 139434054 168102738 191350989 209151081 382701978 418302162 999277387 1998554774 2997832161 5995664322 8993496483 17986992966