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68310831418560 = 2634510325586881
BaseRepresentation
bin11111000100000110110101…
…10101110100110011000000
322221212110012021221000120000
433202003122311310303000
532423201040320343220
6401141321314320000
720250203040423153
oct1742033265646300
9287773167830500
1068310831418560
111a847508526725
1277b311b289000
132c168b72c2153
1412c2394863c9a
157d6dc5066390
hex3e20dad74cc0

68310831418560 has 280 divisors, whose sum is σ = 245352816193056. Its totient is φ = 18039364485120.

The previous prime is 68310831418483. The next prime is 68310831418561. The reversal of 68310831418560 is 6581413801386.

It is a happy number.

68310831418560 is a `hidden beast` number, since 6 + 8 + 3 + 1 + 0 + 8 + 31 + 41 + 8 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 68310831418497 and 68310831418506.

It is not an unprimeable number, because it can be changed into a prime (68310831418561) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10123681 + ... + 15463200.

Almost surely, 268310831418560 is an apocalyptic number.

68310831418560 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68310831418560 is an abundant number, since it is smaller than the sum of its proper divisors (177041984774496).

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

68310831418560 is a wasteful number, since it uses less digits than its factorization.

68310831418560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25587013 (or 25586994 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 68310831418560 in words is "sixty-eight trillion, three hundred ten billion, eight hundred thirty-one million, four hundred eighteen thousand, five hundred sixty".