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68345043387168 = 25324128310438361
BaseRepresentation
bin11111000101000110100100…
…00010001000001100100000
322221222201111120210002122110
433202203102002020030200
532424231122101342133
6401205140211435320
720252523613361652
oct1742432202101440
9287881446702573
1068345043387168
111a85aa74271049
1277b98888b5b40
132c19baa193862
1412c3cbc43c6d2
157d7c28835c63
hex3e28d2088320

68345043387168 has 96 divisors (see below), whose sum is σ = 180786751371072. Its totient is φ = 22606982553600.

The previous prime is 68345043387151. The next prime is 68345043387169. The reversal of 68345043387168 is 86178334054386.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 68345043387099 and 68345043387108.

It is not an unprimeable number, because it can be changed into a prime (68345043387169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1328308 + ... + 11766668.

It is an arithmetic number, because the mean of its divisors is an integer number (1883195326782).

Almost surely, 268345043387168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68345043387168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90393375685536).

68345043387168 is an abundant number, since it is smaller than the sum of its proper divisors (112441707983904).

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

68345043387168 is a wasteful number, since it uses less digits than its factorization.

68345043387168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10438898 (or 10438890 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 66.

The spelling of 68345043387168 in words is "sixty-eight trillion, three hundred forty-five billion, forty-three million, three hundred eighty-seven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 241 283 482 566 723 849 964 1132 1446 1698 1928 2264 2892 3396 3856 4528 5784 6792 7712 9056 11568 13584 23136 27168 68203 136406 204609 272812 409218 545624 818436 1091248 1636872 2182496 3273744 6547488 10438361 20876722 31315083 41753444 62630166 83506888 125260332 167013776 250520664 334027552 501041328 1002082656 2515645001 2954056163 5031290002 5908112326 7546935003 8862168489 10062580004 11816224652 15093870006 17724336978 20125160008 23632449304 30187740012 35448673956 40250320016 47264898608 60375480024 70897347912 80500640032 94529797216 120750960048 141794695824 241501920096 283589391648 711927535283 1423855070566 2135782605849 2847710141132 4271565211698 5695420282264 8543130423396 11390840564528 17086260846792 22781681129056 34172521693584 68345043387168