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16649793216 = 263371376471
BaseRepresentation
bin11111000000110011…
…11010111011000000
31120222100112010112000
433200121322323000
5233044321340331
611352050504000
71126411623120
oct174031727300
946870463460
1016649793216
117074413091
123287b95000
131754597064
14b3d39ac80
15676a9c0e6
hex3e067aec0

16649793216 has 112 divisors (see below), whose sum is σ = 55939822080. Its totient is φ = 4757080320.

The previous prime is 16649793203. The next prime is 16649793227. The reversal of 16649793216 is 61239794661.

16649793216 is a `hidden beast` number, since 1 + 66 + 497 + 93 + 2 + 1 + 6 = 666.

16649793216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×166497932162 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 676140 + ... + 700331.

Almost surely, 216649793216 is an apocalyptic number.

16649793216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

16649793216 is an abundant number, since it is smaller than the sum of its proper divisors (39290028864).

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

16649793216 is a wasteful number, since it uses less digits than its factorization.

16649793216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376499 (or 1376483 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The spelling of 16649793216 in words is "sixteen billion, six hundred forty-nine million, seven hundred ninety-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 6048 12096 1376471 2752942 4129413 5505884 8258826 9635297 11011768 12388239 16517652 19270594 22023536 24776478 28905891 33035304 37164717 38541188 44047072 49552956 57811782 66070608 74329434 77082376 86717673 88094144 99105912 115623564 132141216 148658868 154164752 173435346 198211824 231247128 260153019 264282432 297317736 308329504 346870692 396423648 462494256 520306038 594635472 616659008 693741384 792847296 924988512 1040612076 1189270944 1387482768 1849977024 2081224152 2378541888 2774965536 4162448304 5549931072 8324896608 16649793216