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680664816 = 243313196379
BaseRepresentation
bin101000100100100…
…001111011110000
31202102210100121000
4220210201323300
52343222233231
6151313002000
722603361346
oct5044417360
91672710530
10680664816
1131a243607
1216bb53300
13ab02c760
1466583996
153eb536e6
hex28921ef0

680664816 has 160 divisors (see below), whose sum is σ = 2215136000. Its totient is φ = 198381312.

The previous prime is 680664793. The next prime is 680664833. The reversal of 680664816 is 618466086.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103515 + ... + 109893.

It is an arithmetic number, because the mean of its divisors is an integer number (13844600).

Almost surely, 2680664816 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 680664816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1107568000).

680664816 is an abundant number, since it is smaller than the sum of its proper divisors (1534471184).

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

680664816 is a wasteful number, since it uses less digits than its factorization.

680664816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6428 (or 6416 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 680664816 is about 26089.5537715769. The cubic root of 680664816 is about 879.6524178266.

The spelling of 680664816 in words is "six hundred eighty million, six hundred sixty-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 19 24 26 27 36 38 39 48 52 54 57 72 76 78 104 108 114 117 144 152 156 171 208 216 228 234 247 304 312 342 351 432 456 468 494 513 624 684 702 741 912 936 988 1026 1368 1404 1482 1872 1976 2052 2223 2736 2808 2964 3952 4104 4446 5616 5928 6379 6669 8208 8892 11856 12758 13338 17784 19137 25516 26676 35568 38274 51032 53352 57411 76548 82927 102064 106704 114822 121201 153096 165854 172233 229644 242402 248781 306192 331708 344466 363603 459288 484804 497562 663416 688932 727206 746343 918576 969608 995124 1090809 1326832 1377864 1454412 1492686 1575613 1939216 1990248 2181618 2239029 2755728 2908824 2985372 3151226 3272427 3980496 4363236 4478058 4726839 5817648 5970744 6302452 6544854 8726472 8956116 9453678 11941488 12604904 13089708 14180517 17452944 17912232 18907356 25209808 26179416 28361034 35824464 37814712 42541551 52358832 56722068 75629424 85083102 113444136 170166204 226888272 340332408 680664816