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65055742329796 = 2289211324012
BaseRepresentation
bin11101100101010111110000…
…11010011000001111000100
322112100021020112112101121121
432302223320122120033010
532011333130014023141
6350210110114323324
716463056640612611
oct1662537032301704
9275307215471547
1065055742329796
1119801a92600019
1273682a4589544
132a3b96528154a
14120ca01307508
1577c3b0d551d1
hex3b2af86983c4

65055742329796 has 81 divisors (see below), whose sum is σ = 116459493869173. Its totient is φ = 31798270873600.

The previous prime is 65055742329749. The next prime is 65055742329803. The reversal of 65055742329796 is 69792324755056.

It is a happy number.

The square root of 65055742329796 is 8065714.

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

65055742329796 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 13 ways, for example, as 50818221116100 + 14237521213696 = 7128690^2 + 3773264^2 .

It is a super-2 number, since 2×650557423297962 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 162233771196 + ... + 162233771596.

Almost surely, 265055742329796 is an apocalyptic number.

65055742329796 is the 8065714-th square number.

It is an amenable number.

65055742329796 is a deficient number, since it is larger than the sum of its proper divisors (51403751539377).

65055742329796 is an frugal number, since it uses more digits than its factorization.

65055742329796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 857304000, while the sum is 70.

The spelling of 65055742329796 in words is "sixty-five trillion, fifty-five billion, seven hundred forty-two million, three hundred twenty-nine thousand, seven hundred ninety-six".

Divisors: 1 2 4 89 113 178 226 356 401 452 802 1604 7921 10057 12769 15842 20114 25538 31684 35689 40228 45313 51076 71378 90626 142756 160801 181252 321602 643204 895073 1136441 1790146 2272882 3176321 3580292 4032857 4545764 5120369 6352642 8065714 10240738 12705284 14311289 16131428 18170513 20481476 28622578 36341026 57245156 72682052 101143249 202286498 358924273 404572996 455712841 717848546 911425682 1273704721 1435697092 1617175657 1822851364 2053267969 2547409442 3234351314 4106535938 5094818884 6468702628 8213071876 40558442849 81116885698 143928633473 162233771396 182740849241 287857266946 365481698482 575714533892 730963396964 16263935582449 32527871164898 65055742329796