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68366835443776 = 26532195012
BaseRepresentation
bin11111000101101111001001…
…11100001110100001000000
322222001210202022101021102011
433202313210330032201000
532430110234333200101
6401223142435102304
720254224625660462
oct1742674474164100
9288053668337364
1068366835443776
111a869237319791
127801b4aa41994
132c1bc70c09acc
1412c4d88730132
157d85a1a8b751
hex3e2de4f0e840

68366835443776 has 63 divisors (see below), whose sum is σ = 138280551999303. Its totient is φ = 33536727744000.

The previous prime is 68366835443761. The next prime is 68366835443831. The reversal of 68366835443776 is 67734453866386.

The square root of 68366835443776 is 8268424.

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 4741070760000 + 63625764683776 = 2177400^2 + 7976576^2 .

It is a Duffinian number.

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, 3505802026 + ... + 3505821526.

Almost surely, 268366835443776 is an apocalyptic number.

68366835443776 is the 8268424-th square number.

68366835443776 is the 5229411-st centered pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68366835443776

68366835443776 is an abundant number, since it is smaller than the sum of its proper divisors (69913716555527).

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

68366835443776 is an frugal number, since it uses more digits than its factorization.

68366835443776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39120 (or 19556 counting only the distinct ones).

The product of its digits is 8778792960, while the sum is 76.

The spelling of 68366835443776 in words is "sixty-eight trillion, three hundred sixty-six billion, eight hundred thirty-five million, four hundred forty-three thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 32 53 64 106 212 424 848 1696 2809 3392 5618 11236 19501 22472 39002 44944 78004 89888 156008 179776 312016 624032 1033553 1248064 2067106 4134212 8268424 16536848 33073696 54778309 66147392 109556618 219113236 380289001 438226472 760578002 876452944 1521156004 1752905888 3042312008 3505811776 6084624016 12169248032 20155317053 24338496064 40310634106 80621268212 161242536424 322485072848 644970145696 1068231803809 1289940291392 2136463607618 4272927215236 8545854430472 17091708860944 34183417721888 68366835443776