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16682129352 = 23327191742077
BaseRepresentation
bin11111000100101010…
…10001011111001000
31121001121100222100200
433202111101133020
5233131111114402
611355203532200
71130253521430
oct174225213710
947047328320
1016682129352
117090699769
12329698a060
13175b1a9475
14b437b72c0
1567983821c
hex3e25517c8

16682129352 has 96 divisors (see below), whose sum is σ = 54352833600. Its totient is φ = 4515460992.

The previous prime is 16682129339. The next prime is 16682129353. The reversal of 16682129352 is 25392128661.

16682129352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 16682129298 and 16682129307.

It is not an unprimeable number, because it can be changed into a prime (16682129353) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 861463 + ... + 880614.

It is an arithmetic number, because the mean of its divisors is an integer number (566175350).

Almost surely, 216682129352 is an apocalyptic number.

16682129352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

16682129352 is an abundant number, since it is smaller than the sum of its proper divisors (37670704248).

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

16682129352 is a wasteful number, since it uses less digits than its factorization.

16682129352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742115 (or 1742108 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The spelling of 16682129352 in words is "sixteen billion, six hundred eighty-two million, one hundred twenty-nine thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 28 36 38 42 56 57 63 72 76 84 114 126 133 152 168 171 228 252 266 342 399 456 504 532 684 798 1064 1197 1368 1596 2394 3192 4788 9576 1742077 3484154 5226231 6968308 10452462 12194539 13936616 15678693 20904924 24389078 31357386 33099463 36583617 41809848 48778156 62714772 66198926 73167234 97556312 99298389 109750851 125429544 132397852 146334468 198596778 219501702 231696241 264795704 292668936 297895167 397193556 439003404 463392482 595790334 695088723 794387112 878006808 926784964 1191580668 1390177446 1853569928 2085266169 2383161336 2780354892 4170532338 5560709784 8341064676 16682129352