Search a number
-
+
16619792112 = 2433711499633
BaseRepresentation
bin11110111101001110…
…11110011011110000
31120220021001220202000
433132213132123300
5233014131321422
611345055454000
71125565621260
oct173647363360
946807056660
1016619792112
117059491890
123279b27300
13174b2c1721
14b393cb7a0
15674122cac
hex3de9de6f0

16619792112 has 160 divisors (see below), whose sum is σ = 59476431360. Its totient is φ = 4316820480.

The previous prime is 16619792107. The next prime is 16619792117. The reversal of 16619792112 is 21129791661.

16619792112 is a `hidden beast` number, since 1 + 6 + 619 + 7 + 9 + 21 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (16619792107) and next prime (16619792117).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16619792117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216553 + ... + 283080.

It is an arithmetic number, because the mean of its divisors is an integer number (371727696).

Almost surely, 216619792112 is an apocalyptic number.

16619792112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

16619792112 is an abundant number, since it is smaller than the sum of its proper divisors (42856639248).

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

16619792112 is a wasteful number, since it uses less digits than its factorization.

16619792112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499668 (or 499656 counting only the distinct ones).

The product of its digits is 81648, while the sum is 45.

The spelling of 16619792112 in words is "sixteen billion, six hundred nineteen million, seven hundred ninety-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 33 36 42 44 48 54 56 63 66 72 77 84 88 99 108 112 126 132 144 154 168 176 189 198 216 231 252 264 297 308 336 378 396 432 462 504 528 594 616 693 756 792 924 1008 1188 1232 1386 1512 1584 1848 2079 2376 2772 3024 3696 4158 4752 5544 8316 11088 16632 33264 499633 999266 1498899 1998532 2997798 3497431 3997064 4496697 5495963 5995596 6994862 7994128 8993394 10492293 10991926 11991192 13490091 13989724 16487889 17986788 20984586 21983852 23982384 26980182 27979448 31476879 32975778 35973576 38471741 41969172 43967704 49463667 53960364 55958896 62953758 65951556 71947152 76943482 83938344 87935408 94430637 98927334 107920728 115415223 125907516 131903112 148391001 153886964 167876688 188861274 197854668 215841456 230830446 251815032 263806224 296782002 307773928 346245669 377722548 395709336 461660892 503630064 593564004 615547856 692491338 755445096 791418672 923321784 1038737007 1187128008 1384982676 1510890192 1846643568 2077474014 2374256016 2769965352 4154948028 5539930704 8309896056 16619792112