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68241664560 = 2435284340269
BaseRepresentation
bin111111100011100001…
…010010101000110000
320112010212201202002210
4333203201102220300
52104224331231220
651203315412120
74634043402156
oct774341225060
9215125652083
1068241664560
1126a39705693
1211285bb4040
136587084994
1434352a73d6
151b960876e0
hexfe3852a30

68241664560 has 40 divisors (see below), whose sum is σ = 211549160880. Its totient is φ = 18197777152.

The previous prime is 68241664549. The next prime is 68241664567. The reversal of 68241664560 is 6546614286.

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

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (68241664567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142169895 + ... + 142170374.

It is an arithmetic number, because the mean of its divisors is an integer number (5288729022).

Almost surely, 268241664560 is an apocalyptic number.

68241664560 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68241664560 is an abundant number, since it is smaller than the sum of its proper divisors (143307496320).

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

68241664560 is a wasteful number, since it uses less digits than its factorization.

68241664560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284340285 (or 284340279 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 68241664560 in words is "sixty-eight billion, two hundred forty-one million, six hundred sixty-four thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 284340269 568680538 853020807 1137361076 1421701345 1706041614 2274722152 2843402690 3412083228 4265104035 4549444304 5686805380 6824166456 8530208070 11373610760 13648332912 17060416140 22747221520 34120832280 68241664560