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68580011340 = 22335373432433
BaseRepresentation
bin111111110111101011…
…111110110101001100
320120000110101112122000
4333313223332311030
52110422440330330
651301043352300
74645322323011
oct776753766514
9216013345560
1068580011340
11270a26a0625
121135b382690
13660c1ba989
1434681bd708
151bb5b1d560
hexff7afed4c

68580011340 has 96 divisors (see below), whose sum is σ = 219126586560. Its totient is φ = 17793727488.

The previous prime is 68580011293. The next prime is 68580011443. The reversal of 68580011340 is 4311008586.

68580011340 is a `hidden beast` number, since 68 + 580 + 0 + 1 + 13 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 68580011295 and 68580011304.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1696237 + ... + 1736196.

It is an arithmetic number, because the mean of its divisors is an integer number (2282568610).

Almost surely, 268580011340 is an apocalyptic number.

68580011340 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68580011340 is an abundant number, since it is smaller than the sum of its proper divisors (150546575220).

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

68580011340 is a wasteful number, since it uses less digits than its factorization.

68580011340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3432488 (or 3432480 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 68580011340 in words is "sixty-eight billion, five hundred eighty million, eleven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 37 45 54 60 74 90 108 111 135 148 180 185 222 270 333 370 444 540 555 666 740 999 1110 1332 1665 1998 2220 3330 3996 4995 6660 9990 19980 3432433 6864866 10297299 13729732 17162165 20594598 30891897 34324330 41189196 51486495 61783794 68648660 92675691 102972990 123567588 127000021 154459485 185351382 205945980 254000042 308918970 370702764 381000063 463378455 508000084 617837940 635000105 762000126 926756910 1143000189 1270000210 1524000252 1853513820 1905000315 2286000378 2540000420 3429000567 3810000630 4572000756 5715000945 6858001134 7620001260 11430001890 13716002268 17145002835 22860003780 34290005670 68580011340