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16679405856 = 2531371936571
BaseRepresentation
bin11111000100010101…
…11000100100100000
31121001102020121102110
433202022320210200
5233124411441411
611355025315320
71130221416261
oct174212704440
947042217373
1016679405856
11708a0a9543
123295a95b40
13175a764929
14b432a8968
1567949b2a6
hex3e22b8920

16679405856 has 96 divisors (see below), whose sum is σ = 44338287168. Its totient is φ = 5489786880.

The previous prime is 16679405807. The next prime is 16679405929. The reversal of 16679405856 is 65850497661.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 16679405796 and 16679405805.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2535051 + ... + 2541621.

It is an arithmetic number, because the mean of its divisors is an integer number (461857158).

Almost surely, 216679405856 is an apocalyptic number.

16679405856 is a gapful number since it is divisible by the number (16) 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 16679405856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22169143584).

16679405856 is an abundant number, since it is smaller than the sum of its proper divisors (27658881312).

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

16679405856 is a wasteful number, since it uses less digits than its factorization.

16679405856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6914 (or 6906 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 57.

The spelling of 16679405856 in words is "sixteen billion, six hundred seventy-nine million, four hundred five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 137 193 274 386 411 548 579 772 822 1096 1158 1544 1644 2192 2316 3088 3288 4384 4632 6176 6571 6576 9264 13142 13152 18528 19713 26284 26441 39426 52568 52882 78852 79323 105136 105764 157704 158646 210272 211528 315408 317292 423056 630816 634584 846112 900227 1268203 1269168 1800454 2536406 2538336 2700681 3600908 3804609 5072812 5401362 7201816 7609218 10145624 10802724 14403632 15218436 20291248 21605448 28807264 30436872 40582496 43210896 60873744 86421792 121747488 173743811 347487622 521231433 694975244 1042462866 1389950488 2084925732 2779900976 4169851464 5559801952 8339702928 16679405856