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104954617089 = 3272154272
BaseRepresentation
bin110000110111111001…
…0000101110100000001
3101000220110121222011100
41201233302011310001
53204421340221324
6120114313405013
710403605345200
oct1415762056401
9330813558140
10104954617089
1140569166273
1218411109769
139b8813b62a
1451190ab237
152ae41c94c9
hex186fc85d01

104954617089 has 27 divisors (see below), whose sum is σ = 176363747937. Its totient is φ = 59970179304.

The previous prime is 104954617081. The next prime is 104954617091. The reversal of 104954617089 is 980716459401.

The square root of 104954617089 is 323967.

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

104954617089 is a `hidden beast` number, since 1 + 0 + 4 + 9 + 546 + 17 + 0 + 89 = 666.

It is not a de Polignac number, because 104954617089 - 23 = 104954617081 is a prime.

It is a super-2 number, since 2×1049546170892 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (104954617081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6795594 + ... + 6811020.

Almost surely, 2104954617089 is an apocalyptic number.

104954617089 is the 323967-th square number.

104954617089 is the 161984-th centered octagonal number.

It is an amenable number.

104954617089 is a deficient number, since it is larger than the sum of its proper divisors (71409130848).

104954617089 is an frugal number, since it uses more digits than its factorization.

104954617089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30874 (or 15437 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 104954617089 in words is "one hundred four billion, nine hundred fifty-four million, six hundred seventeen thousand, eighty-nine".

Divisors: 1 3 7 9 21 49 63 147 441 15427 46281 107989 138843 323967 755923 971901 2267769 6803307 237992329 713976987 1665946303 2141930961 4997838909 11661624121 14993516727 34984872363 104954617089