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680789346336 = 253211316932117
BaseRepresentation
bin10011110100000100011…
…01010000100000100000
32102002020101021002002200
421322002031100200200
542123224033040321
61240430022213200
7100120410651621
oct11720215204040
92362211232080
10680789346336
112427a2924220
12abb36b84200
134c276484c58
1424d43bb3a48
1512a977abd26
hex9e82350820

680789346336 has 144 divisors (see below), whose sum is σ = 2180123382528. Its totient is φ = 199644940800.

The previous prime is 680789346317. The next prime is 680789346359. The reversal of 680789346336 is 633643987086.

It is a happy number.

680789346336 is a `hidden beast` number, since 6 + 80 + 7 + 8 + 93 + 463 + 3 + 6 = 666.

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

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 23 ways as a sum of consecutive naturals, for example, 3367851 + ... + 3564266.

It is an arithmetic number, because the mean of its divisors is an integer number (15139745712).

Almost surely, 2680789346336 is an apocalyptic number.

680789346336 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

680789346336 is an abundant number, since it is smaller than the sum of its proper divisors (1499334036192).

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

680789346336 is a wasteful number, since it uses less digits than its factorization.

680789346336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6932175 (or 6932164 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 63.

The spelling of 680789346336 in words is "six hundred eighty billion, seven hundred eighty-nine million, three hundred forty-six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 31 32 33 36 44 48 62 66 72 88 93 96 99 124 132 144 176 186 198 248 264 279 288 341 352 372 396 496 528 558 682 744 792 992 1023 1056 1116 1364 1488 1584 2046 2232 2728 2976 3069 3168 4092 4464 5456 6138 8184 8928 10912 12276 16368 24552 32736 49104 98208 6932117 13864234 20796351 27728468 41592702 55456936 62389053 76253287 83185404 110913872 124778106 152506574 166370808 214895627 221827744 228759861 249556212 305013148 332741616 429791254 457519722 499112424 610026296 644686881 665483232 686279583 859582508 915039444 998224848 1220052592 1289373762 1372559166 1719165016 1830078888 1934060643 1996449696 2363851897 2440105184 2578747524 2745118332 3438330032 3660157776 3868121286 4727703794 5157495048 5490236664 6876660064 7091555691 7320315552 7736242572 9455407588 10314990096 10980473328 14183111382 15472485144 18910815176 20629980192 21274667073 21960946656 28366222764 30944970288 37821630352 42549334146 56732445528 61889940576 75643260704 85098668292 113464891056 170197336584 226929782112 340394673168 680789346336