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668493018720 = 25325582779669
BaseRepresentation
bin10011011101001010100…
…10011111011001100000
32100220111102112220200100
421232211102133121200
541423033203044340
61231033525222400
766203610622152
oct11564522373140
92326442486610
10668493018720
1123856297729a
12a9684b61a00
134b066b0a057
14244d8a9aad2
15125c8005830
hex9ba549f660

668493018720 has 144 divisors (see below), whose sum is σ = 2281652558640. Its totient is φ = 178231974912.

The previous prime is 668493018719. The next prime is 668493018763. The reversal of 668493018720 is 27810394866.

668493018720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8351046 + ... + 8430714.

It is an arithmetic number, because the mean of its divisors is an integer number (15844809435).

Almost surely, 2668493018720 is an apocalyptic number.

668493018720 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

668493018720 is an abundant number, since it is smaller than the sum of its proper divisors (1613159539920).

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

668493018720 is a wasteful number, since it uses less digits than its factorization.

668493018720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85517 (or 85506 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 668493018720 in words is "six hundred sixty-eight billion, four hundred ninety-three million, eighteen thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 5827 11654 17481 23308 29135 34962 46616 52443 58270 69924 79669 87405 93232 104886 116540 139848 159338 174810 186464 209772 233080 239007 262215 279696 318676 349620 398345 419544 466160 478014 524430 559392 637352 699240 717021 796690 839088 932320 956028 1048860 1195035 1274704 1398480 1434042 1593380 1678176 1912056 2097720 2390070 2549408 2796960 2868084 3186760 3585105 3824112 4195440 4780140 5736168 6373520 7170210 7648224 8390880 9560280 11472336 12747040 14340420 19120560 22944672 28680840 38241120 57361680 114723360 464231263 928462526 1392693789 1856925052 2321156315 2785387578 3713850104 4178081367 4642312630 5570775156 6963468945 7427700208 8356162734 9284625260 11141550312 13926937890 14855400416 16712325468 18569250520 20890406835 22283100624 27853875780 33424650936 37138501040 41780813670 44566201248 55707751560 66849301872 74277002080 83561627340 111415503120 133698603744 167123254680 222831006240 334246509360 668493018720