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109926480683889 = 3234948612
BaseRepresentation
bin11000111111101001000000…
…110101010010001101110001
3112102012212110102222120010100
4120333221000311102031301
5103402013413023341024
61025443310021423013
732103632444610222
oct3077510065221561
9472185412876110
10109926480683889
1132031616628911
12103b45a3b6aa69
13494503a9b644c
141d20681b7d249
15ca969017b7c9
hex63fa40d52371

109926480683889 has 9 divisors (see below), whose sum is σ = 158782739754379. Its totient is φ = 73284299486760.

The previous prime is 109926480683869. The next prime is 109926480683983. The reversal of 109926480683889 is 988386084629901.

The square root of 109926480683889 is 10484583.

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

109926480683889 is a `hidden beast` number, since 1 + 0 + 9 + 9 + 26 + 480 + 6 + 8 + 38 + 89 = 666.

It can be written as a sum of positive squares in only one way, i.e., 101010881873889 + 8915598810000 = 10050417^2 + 2985900^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 109926480683889 - 217 = 109926480552817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (109926480683849) 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 8 ways as a sum of consecutive naturals, for example, 29706319 + ... + 33201179.

Almost surely, 2109926480683889 is an apocalyptic number.

109926480683889 is the 10484583-rd square number.

109926480683889 is the 5242292-nd centered octagonal number.

It is an amenable number.

109926480683889 is a deficient number, since it is larger than the sum of its proper divisors (48856259070490).

109926480683889 is an frugal number, since it uses more digits than its factorization.

109926480683889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6989728 (or 3494864 counting only the distinct ones).

The product of its (nonzero) digits is 2579890176, while the sum is 81.

The spelling of 109926480683889 in words is "one hundred nine trillion, nine hundred twenty-six billion, four hundred eighty million, six hundred eighty-three thousand, eight hundred eighty-nine".

Divisors: 1 3 9 3494861 10484583 31453749 12214053409321 36642160227963 109926480683889