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26140099041 = 327276992
BaseRepresentation
bin11000010110000100…
…100100000111100001
32111110202012121200100
4120112010210013201
5412013331132131
620001505013013
71613530114200
oct302604440741
974422177610
1026140099041
11100a444a341
125096324169
1326077b6b34
14139d963237
15a2ed297e6
hex6161241e1

26140099041 has 27 divisors (see below), whose sum is σ = 43928185041. Its totient is φ = 14935259304.

The previous prime is 26140099019. The next prime is 26140099123. The reversal of 26140099041 is 14099004162.

It is a happy number.

The square root of 26140099041 is 161679.

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

It is not a de Polignac number, because 26140099041 - 211 = 26140096993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 26140098987 and 26140099005.

It is not an unprimeable number, because it can be changed into a prime (26140099001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3391410 + ... + 3399108.

Almost surely, 226140099041 is an apocalyptic number.

26140099041 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

26140099041 is the 161679-th square number.

26140099041 is the 80840-th centered octagonal number.

It is an amenable number.

26140099041 is a deficient number, since it is larger than the sum of its proper divisors (17788086000).

26140099041 is an frugal number, since it uses more digits than its factorization.

26140099041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15418 (or 7709 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

Multiplying 26140099041 by its sum of digits (36), we get a square (941043565476 = 9700742).

The spelling of 26140099041 in words is "twenty-six billion, one hundred forty million, ninety-nine thousand, forty-one".

Divisors: 1 3 7 9 21 49 63 147 441 7699 23097 53893 69291 161679 377251 485037 1131753 3395259 59274601 177823803 414922207 533471409 1244766621 2904455449 3734299863 8713366347 26140099041