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68007527172 = 223213389373561
BaseRepresentation
bin111111010101100100…
…001000001100000100
320111112120011022222200
4333111210020030010
52103234411332142
651124153154500
74625201304654
oct772544101404
9214476138880
1068007527172
1126929526812
121121b6bba30
13654a707450
14341215a364
151b8073864c
hexfd5908304

68007527172 has 72 divisors (see below), whose sum is σ = 185608015320. Its totient is φ = 20871544320.

The previous prime is 68007527131. The next prime is 68007527177. The reversal of 68007527172 is 27172570086.

It can be written as a sum of positive squares in 4 ways, for example, as 24265476 + 67983261696 = 4926^2 + 260736^2 .

It is not an unprimeable number, because it can be changed into a prime (68007527177) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4729 + ... + 368832.

Almost surely, 268007527172 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 68007527172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92804007660).

68007527172 is an abundant number, since it is smaller than the sum of its proper divisors (117600488148).

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

68007527172 is a wasteful number, since it uses less digits than its factorization.

68007527172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373973 (or 373968 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 68007527172 in words is "sixty-eight billion, seven million, five hundred twenty-seven thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 389 468 778 1167 1556 2334 3501 4668 5057 7002 10114 14004 15171 20228 30342 45513 60684 91026 182052 373561 747122 1120683 1494244 2241366 3362049 4482732 4856293 6724098 9712586 13448196 14568879 19425172 29137758 43706637 58275516 87413274 145315229 174826548 290630458 435945687 581260916 871891374 1307837061 1743782748 1889097977 2615674122 3778195954 5231348244 5667293931 7556391908 11334587862 17001881793 22669175724 34003763586 68007527172