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104657176183681 = 11217222722412
BaseRepresentation
bin10111110010111101100101…
…110011110100001110000001
3111201120010110112221100200201
4113302331211303310032001
5102204200344100334211
61010330502031045201
731021142250430432
oct2762754563641601
9451503415840621
10104657176183681
113038a94a604400
12b8a3318670801
13465218b2b0614
141bbb611c25489
15c1758eea90c1
hex5f2f65cf4381

104657176183681 has 81 divisors (see below), whose sum is σ = 123253416577641. Its totient is φ = 88781845785600.

The previous prime is 104657176183643. The next prime is 104657176183711. The reversal of 104657176183681 is 186381671756401.

The square root of 104657176183681 is 10230209.

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 29495489450625 + 75161686733056 = 5430975^2 + 8669584^2 .

It is not a de Polignac number, because 104657176183681 - 217 = 104657176052609 is a prime.

It is a super-2 number, since 2×1046571761836812 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (104657176183481) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 434262141721 + ... + 434262141961.

Almost surely, 2104657176183681 is an apocalyptic number.

104657176183681 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

104657176183681 is the 10230209-th square number.

104657176183681 is the 5115105-th centered octagonal number.

It is an amenable number.

104657176183681 is a deficient number, since it is larger than the sum of its proper divisors (18596240393960).

104657176183681 is an frugal number, since it uses more digits than its factorization.

104657176183681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 64.

The spelling of 104657176183681 in words is "one hundred four trillion, six hundred fifty-seven billion, one hundred seventy-six million, one hundred eighty-three thousand, six hundred eighty-one".

Divisors: 1 11 17 121 187 227 241 289 2057 2497 2651 3179 3859 4097 27467 29161 34969 42449 45067 51529 54707 58081 65603 69649 466939 495737 566819 601777 638891 721633 766139 875993 930019 987377 6235009 6619547 7027801 7937963 8427529 9635923 10230209 10861147 12418489 13184387 14891881 15810323 16785409 105995153 112532299 119472617 136603379 145028257 163810691 173913553 184639499 211114313 224134579 1502637169 1595310827 1801917601 1913049083 2031034489 2322257443 2465480369 2992855849 3588943321 3810287843 25544831873 27120284059 32921414339 39478376531 41913166273 50878549433 362135557729 434262141841 461044829003 559664043763 864935340361 6156304481393 9514288743971 104657176183681