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16829354904 = 2336114597879
BaseRepresentation
bin11111010110001101…
…11001001110011000
31121102212101210211220
433223012321032120
5233431303324104
611421543252040
71134022104435
oct175306711630
947385353756
1016829354904
11715680647a
12331814a020
13178284658b
14b5917cb8c
1568771a7d9
hex3eb1b9398

16829354904 has 64 divisors (see below), whose sum is σ = 42797856000. Its totient is φ = 5513339520.

The previous prime is 16829354887. The next prime is 16829354923. The reversal of 16829354904 is 40945392861.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2132037 + ... + 2139915.

It is an arithmetic number, because the mean of its divisors is an integer number (668716500).

Almost surely, 216829354904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16829354904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21398928000).

16829354904 is an abundant number, since it is smaller than the sum of its proper divisors (25968501096).

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

16829354904 is a wasteful number, since it uses less digits than its factorization.

16829354904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9408 (or 9404 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The spelling of 16829354904 in words is "sixteen billion, eight hundred twenty-nine million, three hundred fifty-four thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 24 61 122 183 244 366 488 732 1459 1464 2918 4377 5836 7879 8754 11672 15758 17508 23637 31516 35016 47274 63032 88999 94548 177998 189096 266997 355996 480619 533994 711992 961238 1067988 1441857 1922476 2135976 2883714 3844952 5767428 11495461 11534856 22990922 34486383 45981844 68972766 91963688 137945532 275891064 701223121 1402446242 2103669363 2804892484 4207338726 5609784968 8414677452 16829354904