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68198131502656 = 26941210972
BaseRepresentation
bin11111000000110100111010…
…11001110000111001000000
322221110200022001011002211121
433200122131121300321000
532414324233131041111
6401013442240122024
720236103163066601
oct1740323531607100
9287420261132747
1068198131502656
111a803735347861
127795308306314
132c0909663ab8c
1412bab42c6dda8
157d3ecae03871
hex3e069d670e40

68198131502656 has 63 divisors (see below), whose sum is σ = 135598243974547. Its totient is φ = 34031777807360.

The previous prime is 68198131502587. The next prime is 68198131502687. The reversal of 68198131502656 is 65620513189186.

It is a happy number.

The square root of 68198131502656 is 8258216.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 702311041600 + 67495820461056 = 838040^2 + 8215584^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 68198131502594 and 68198131502603.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 62167849500 + ... + 62167850596.

Almost surely, 268198131502656 is an apocalyptic number.

68198131502656 is the 8258216-th square number.

It is an amenable number.

68198131502656 is a deficient number, since it is larger than the sum of its proper divisors (67400112471891).

68198131502656 is an frugal number, since it uses more digits than its factorization.

68198131502656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4088 (or 2040 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 61.

The spelling of 68198131502656 in words is "sixty-eight trillion, one hundred ninety-eight billion, one hundred thirty-one million, five hundred two thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 941 1097 1882 2194 3764 4388 7528 8776 15056 17552 30112 35104 60224 70208 885481 1032277 1203409 1770962 2064554 2406818 3541924 4129108 4813636 7083848 8258216 9627272 14167696 16516432 19254544 28335392 33032864 38509088 56670784 66065728 77018176 971372657 1132407869 1942745314 2264815738 3885490628 4529631476 7770981256 9059262952 15541962512 18118525904 31083925024 36237051808 62167850048 72474103616 1065595804729 2131191609458 4262383218916 8524766437832 17049532875664 34099065751328 68198131502656