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68648476816980 = 223251812107074181
BaseRepresentation
bin11111001101111011110000…
…00100110011011001010100
3100000001201201101022102122200
433212331320010303121110
532444214040031120410
6402000401435124500
720313455152103634
oct1746757004633124
9300051641272580
1068648476816980
111a967723556a45
12784864bba3730
132c3c6a6421428
1412d48655706c4
157e0a876523c0
hex3e6f78133654

68648476816980 has 72 divisors (see below), whose sum is σ = 209384175613704. Its totient is φ = 18205120915200.

The previous prime is 68648476816973. The next prime is 68648476816991. The reversal of 68648476816980 is 8961867484686.

It is a happy number.

68648476816980 is a `hidden beast` number, since 6 + 8 + 6 + 4 + 8 + 476 + 8 + 1 + 69 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3884675437764 + 64763801379216 = 1970958^2 + 8047596^2 .

It is a super-2 number, since 2×686484768169802 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 68648476816980.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1053504511 + ... + 1053569670.

Almost surely, 268648476816980 is an apocalyptic number.

68648476816980 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68648476816980 is an abundant number, since it is smaller than the sum of its proper divisors (140735698796724).

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

68648476816980 is a wasteful number, since it uses less digits than its factorization.

68648476816980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2107074377 (or 2107074372 counting only the distinct ones).

The product of its (nonzero) digits is 5350883328, while the sum is 81.

The spelling of 68648476816980 in words is "sixty-eight trillion, six hundred forty-eight billion, four hundred seventy-six million, eight hundred sixteen thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 181 362 543 724 905 1086 1629 1810 2172 2715 3258 3620 5430 6516 8145 10860 16290 32580 2107074181 4214148362 6321222543 8428296724 10535370905 12642445086 18963667629 21070741810 25284890172 31606112715 37927335258 42141483620 63212225430 75854670516 94818338145 126424450860 189636676290 379273352580 381380426761 762760853522 1144141280283 1525521707044 1906902133805 2288282560566 3432423840849 3813804267610 4576565121132 5720706401415 6864847681698 7627608535220 11441412802830 13729695363396 17162119204245 22882825605660 34324238408490 68648476816980