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68003058384 = 24331914995527
BaseRepresentation
bin111111010101010011…
…000101001011010000
320111112020202021222000
4333111103011023100
52103232240332014
651123513314000
74625115313302
oct772523051320
9214466667860
1068003058384
1126926a542a8
121121a105900
1365498013b1
143411715972
151b80154509
hexfd54c52d0

68003058384 has 160 divisors (see below), whose sum is σ = 205641600000. Its totient is φ = 21456441216.

The previous prime is 68003058371. The next prime is 68003058391. The reversal of 68003058384 is 48385030086.

68003058384 is a `hidden beast` number, since 68 + 0 + 0 + 3 + 0 + 583 + 8 + 4 = 666.

68003058384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12301029 + ... + 12306555.

It is an arithmetic number, because the mean of its divisors is an integer number (1285260000).

Almost surely, 268003058384 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 68003058384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102820800000).

68003058384 is an abundant number, since it is smaller than the sum of its proper divisors (137638541616).

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

68003058384 is a wasteful number, since it uses less digits than its factorization.

68003058384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7062 (or 7050 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 68003058384 in words is "sixty-eight billion, three million, fifty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 432 456 513 684 912 1026 1368 1499 2052 2736 2998 4104 4497 5527 5996 8208 8994 11054 11992 13491 16581 17988 22108 23984 26982 28481 33162 35976 40473 44216 49743 53964 56962 66324 71952 80946 85443 88432 99486 105013 107928 113924 132648 149229 161892 170886 198972 210026 215856 227848 256329 265296 298458 315039 323784 341772 397944 420052 455696 512658 596916 630078 647568 683544 768987 795888 840104 945117 1025316 1193832 1260156 1367088 1537974 1680208 1890234 2050632 2387664 2520312 2835351 3075948 3780468 4101264 5040624 5670702 6151896 7560936 8284973 11341404 12303792 15121872 16569946 22682808 24854919 33139892 45365616 49709838 66279784 74564757 99419676 132559568 149129514 157414487 198839352 223694271 298259028 314828974 397678704 447388542 472243461 596518056 629657948 894777084 944486922 1193036112 1259315896 1416730383 1789554168 1888973844 2518631792 2833460766 3579108336 3777947688 4250191149 5666921532 7555895376 8500382298 11333843064 17000764596 22667686128 34001529192 68003058384