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68006834160 = 2435283361809
BaseRepresentation
bin111111010101100001…
…011110111111110000
320111112111212010100120
4333111201132333300
52103234222143120
651124130250240
74625162360346
oct772541367760
9214474763316
1068006834160
11269290a3081
121121b426980
13654a523b95
143412019996
151b8064d140
hexfd585eff0

68006834160 has 40 divisors (see below), whose sum is σ = 210821186640. Its totient is φ = 18135155712.

The previous prime is 68006834117. The next prime is 68006834167. The reversal of 68006834160 is 6143860086.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68006834167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141680665 + ... + 141681144.

It is an arithmetic number, because the mean of its divisors is an integer number (5270529666).

Almost surely, 268006834160 is an apocalyptic number.

68006834160 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68006834160 is an abundant number, since it is smaller than the sum of its proper divisors (142814352480).

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

68006834160 is a wasteful number, since it uses less digits than its factorization.

68006834160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283361825 (or 283361819 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 68006834160 in words is "sixty-eight billion, six million, eight hundred thirty-four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 283361809 566723618 850085427 1133447236 1416809045 1700170854 2266894472 2833618090 3400341708 4250427135 4533788944 5667236180 6800683416 8500854270 11334472360 13601366832 17001708540 22668944720 34003417080 68006834160