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16704716652 = 223213197409443
BaseRepresentation
bin11111000111010110…
…11011111101101100
31121010011212112022100
433203223123331230
5233202401413102
611401332015100
71130646514551
oct174353337554
947104775270
1016704716652
1170a2416958
1232a2461490
131762a87430
14b467b6a28
1567b7eaa1c
hex3e3adbf6c

16704716652 has 144 divisors (see below), whose sum is σ = 45919954080. Its totient is φ = 5089803264.

The previous prime is 16704716627. The next prime is 16704716659. The reversal of 16704716652 is 25661740761.

16704716652 is a `hidden beast` number, since 1 + 6 + 70 + 471 + 66 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 16704716598 and 16704716607.

It is not an unprimeable number, because it can be changed into a prime (16704716659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37707943 + ... + 37708385.

It is an arithmetic number, because the mean of its divisors is an integer number (318888570).

Almost surely, 216704716652 is an apocalyptic number.

16704716652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16704716652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22959977040).

16704716652 is an abundant number, since it is smaller than the sum of its proper divisors (29215237428).

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

16704716652 is a wasteful number, since it uses less digits than its factorization.

16704716652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 16704716652 in words is "sixteen billion, seven hundred four million, seven hundred sixteen thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 197 234 394 409 443 468 591 788 818 886 1182 1227 1329 1636 1772 1773 2364 2454 2561 2658 3546 3681 3987 4908 5122 5316 5317 5759 7092 7362 7683 7974 10244 10634 11518 14724 15366 15948 15951 17277 21268 23036 23049 30732 31902 34554 46098 47853 51831 63804 69108 80573 87271 92196 95706 103662 161146 174542 181187 191412 207324 241719 261813 322292 349084 362374 483438 523626 543561 724748 725157 785439 966876 1047252 1047449 1087122 1134523 1450314 1570878 1630683 2094898 2174244 2269046 2355431 2900628 3141756 3142347 3261366 3403569 4189796 4538092 4710862 6284694 6522732 6807138 7066293 9421724 9427041 10210707 12569388 13614276 14132586 18854082 20421414 21198879 28265172 35693839 37708164 40842828 42397758 71387678 84795516 107081517 142775356 214163034 321244551 428326068 464019907 642489102 928039814 1284978204 1392059721 1856079628 2784119442 4176179163 5568238884 8352358326 16704716652