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68446759968 = 2534157168197
BaseRepresentation
bin111111101111101111…
…101010110000100000
320112200011122200010000
4333233233222300200
52110134332304333
651235523340000
74642113601026
oct775757526040
9215604580100
1068446759968
1127034458924
1211322821600
1365ba704302
143454614716
151ba909b713
hexfefbeac20

68446759968 has 120 divisors (see below), whose sum is σ = 202583389932. Its totient is φ = 22670129664.

The previous prime is 68446759967. The next prime is 68446760023. The reversal of 68446759968 is 86995764486.

It can be written as a sum of positive squares in 2 ways, for example, as 68064635664 + 382124304 = 260892^2 + 19548^2 .

It is a super-2 number, since 2×684467599682 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 68446759896 and 68446759905.

It is not an unprimeable number, because it can be changed into a prime (68446759967) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 322846 + ... + 491042.

Almost surely, 268446759968 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 68446759968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101291694966).

68446759968 is an abundant number, since it is smaller than the sum of its proper divisors (134136629964).

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

68446759968 is a wasteful number, since it uses less digits than its factorization.

68446759968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168376 (or 168359 counting only the distinct ones).

The product of its digits is 627056640, while the sum is 72.

The spelling of 68446759968 in words is "sixty-eight billion, four hundred forty-six million, seven hundred fifty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 157 162 216 288 314 324 432 471 628 648 864 942 1256 1296 1413 1884 2512 2592 2826 3768 4239 5024 5652 7536 8478 11304 12717 15072 16956 22608 25434 33912 45216 50868 67824 101736 135648 168197 203472 336394 406944 504591 672788 1009182 1345576 1513773 2018364 2691152 3027546 4036728 4541319 5382304 6055092 8073456 9082638 12110184 13623957 16146912 18165276 24220368 26406929 27247914 36330552 48440736 52813858 54495828 72661104 79220787 105627716 108991656 145322208 158441574 211255432 217983312 237662361 316883148 422510864 435966624 475324722 633766296 712987083 845021728 950649444 1267532592 1425974166 1901298888 2138961249 2535065184 2851948332 3802597776 4277922498 5703896664 7605195552 8555844996 11407793328 17111689992 22815586656 34223379984 68446759968