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68593030560 = 25325139342691
BaseRepresentation
bin111111111000011101…
…101001010110100000
320120001100212222122100
4333320131221112200
52110434303434220
651302230410400
74645541065635
oct777035512640
9216040788570
1068593030560
11270a9a8310a
1211363800a00
136611ac8862
143469c0c18c
151bb6d40d90
hexff87695a0

68593030560 has 144 divisors (see below), whose sum is σ = 235758388320. Its totient is φ = 18159828480.

The previous prime is 68593030553. The next prime is 68593030577. The reversal of 68593030560 is 6503039586.

68593030560 is a `hidden beast` number, since 6 + 8 + 59 + 3 + 0 + 30 + 560 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 28815 + ... + 371505.

It is an arithmetic number, because the mean of its divisors is an integer number (1637211030).

Almost surely, 268593030560 is an apocalyptic number.

68593030560 is a gapful number since it is divisible by the number (60) 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 68593030560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117879194160).

68593030560 is an abundant number, since it is smaller than the sum of its proper divisors (167165357760).

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

68593030560 is a wasteful number, since it uses less digits than its factorization.

68593030560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342851 (or 342840 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 68593030560 in words is "sixty-eight billion, five hundred ninety-three million, thirty thousand, five hundred sixty".

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 96 120 139 144 160 180 240 278 288 360 417 480 556 695 720 834 1112 1251 1390 1440 1668 2085 2224 2502 2780 3336 4170 4448 5004 5560 6255 6672 8340 10008 11120 12510 13344 16680 20016 22240 25020 33360 40032 50040 66720 100080 200160 342691 685382 1028073 1370764 1713455 2056146 2741528 3084219 3426910 4112292 5140365 5483056 6168438 6853820 8224584 10280730 10966112 12336876 13707640 15421095 16449168 20561460 24673752 27415280 30842190 32898336 41122920 47634049 49347504 54830560 61684380 82245840 95268098 98695008 123368760 142902147 164491680 190536196 238170245 246737520 285804294 381072392 428706441 476340490 493475040 571608588 714510735 762144784 857412882 952680980 1143217176 1429021470 1524289568 1714825764 1905361960 2143532205 2286434352 2858042940 3429651528 3810723920 4287064410 4572868704 5716085880 6859303056 7621447840 8574128820 11432171760 13718606112 17148257640 22864343520 34296515280 68593030560