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68620595317920 = 2532573652783441
BaseRepresentation
bin11111001101000111110100…
…01101010100110010100000
322222222001202021100112020100
433212203322031110302200
532443234434400133140
6401535511041542400
720311450215215442
oct1746437215246240
9288861667315210
1068620595317920
111a956916138038
12784316a644a00
132c39b81c241a9
1412d337c62a492
157deea49e7530
hex3e68fa354ca0

68620595317920 has 144 divisors (see below), whose sum is σ = 237375559715112. Its totient is φ = 18048156549120.

The previous prime is 68620595317889. The next prime is 68620595317943. The reversal of 68620595317920 is 2971359502686.

68620595317920 is a `hidden beast` number, since 6 + 8 + 6 + 2 + 0 + 5 + 9 + 531 + 7 + 92 + 0 = 666.

68620595317920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 64589318415504 + 4031276902416 = 8036748^2 + 2007804^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×686205953179202 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 326286601 + ... + 326496840.

Almost surely, 268620595317920 is an apocalyptic number.

68620595317920 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68620595317920 is an abundant number, since it is smaller than the sum of its proper divisors (168754964397192).

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

68620595317920 is a wasteful number, since it uses less digits than its factorization.

68620595317920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652783535 (or 652783524 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 68620595317920 in words is "sixty-eight trillion, six hundred twenty billion, five hundred ninety-five million, three hundred seventeen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 73 80 90 96 120 144 146 160 180 219 240 288 292 360 365 438 480 584 657 720 730 876 1095 1168 1314 1440 1460 1752 2190 2336 2628 2920 3285 3504 4380 5256 5840 6570 7008 8760 10512 11680 13140 17520 21024 26280 35040 52560 105120 652783441 1305566882 1958350323 2611133764 3263917205 3916700646 5222267528 5875050969 6527834410 7833401292 9791751615 10444535056 11750101938 13055668820 15666802584 19583503230 20889070112 23500203876 26111337640 29375254845 31333605168 39167006460 47000407752 47653191193 52222675280 58750509690 62667210336 78334012920 94000815504 95306382386 104445350560 117501019380 142959573579 156668025840 188001631008 190612764772 235002038760 238265955965 285919147158 313336051680 381225529544 428878720737 470004077520 476531911930 571838294316 714797867895 762451059088 857757441474 940008155040 953063823860 1143676588632 1429595735790 1524902118176 1715514882948 1906127647720 2144393603685 2287353177264 2859191471580 3431029765896 3812255295440 4288787207370 4574706354528 5718382943160 6862059531792 7624510590880 8577574414740 11436765886320 13724119063584 17155148829480 22873531772640 34310297658960 68620595317920