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109795420545561 = 34672173772
BaseRepresentation
bin11000111101101110111101…
…000010100010001000011001
3112101202100011122012201010000
4120331232331002202020121
5103342342010124424221
61025303153032043213
732061312606040452
oct3075567502421031
9471670148181100
10109795420545561
1131a90a815a0103
1210393108233509
1349358822a983a
141d181ab990129
15ca606e207e26
hex63dbbd0a2219

109795420545561 has 45 divisors (see below), whose sum is σ = 166509491427279. Its totient is φ = 72100305864576.

The previous prime is 109795420545553. The next prime is 109795420545593. The reversal of 109795420545561 is 165545024597901.

The square root of 109795420545561 is 10478331.

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

109795420545561 is a `hidden beast` number, since 1 + 0 + 9 + 7 + 9 + 5 + 4 + 20 + 5 + 45 + 561 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6583150035225 + 103212270510336 = 2565765^2 + 10159344^2 .

It is not a de Polignac number, because 109795420545561 - 23 = 109795420545553 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (109795420545761) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 6318424905 + ... + 6318442281.

Almost surely, 2109795420545561 is an apocalyptic number.

109795420545561 is the 10478331-st square number.

109795420545561 is the 5239166-th centered octagonal number.

It is an amenable number.

109795420545561 is a deficient number, since it is larger than the sum of its proper divisors (56714070881718).

109795420545561 is an frugal number, since it uses more digits than its factorization.

109795420545561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34900 (or 17447 counting only the distinct ones).

The product of its (nonzero) digits is 68040000, while the sum is 63.

The spelling of 109795420545561 in words is "one hundred nine trillion, seven hundred ninety-five billion, four hundred twenty million, five hundred forty-five thousand, five hundred sixty-one".

Divisors: 1 3 9 27 67 81 201 603 1809 4489 5427 13467 17377 40401 52131 121203 156393 363609 469179 1164259 1407537 3492777 10478331 31434993 78005353 94304979 234016059 301960129 702048177 905880387 2106144531 2717641161 6318433593 8152923483 20231328643 24458770449 60693985929 182081957787 546245873361 1355499019081 1638737620083 4066497057243 12199491171729 36598473515187 109795420545561