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3742069720249 = 72103226832
BaseRepresentation
bin110110011101000100101…
…111001000010010111001
3111020201221021100220010001
4312131010233020102321
5442302224322021444
611543025540553001
7534232655543200
oct66350457102271
914221837326101
103742069720249
11121300388a913
125052a36b2761
13211b4ca97b23
14cd18d612237
1567516d688d4
hex36744bc84b9

3742069720249 has 27 divisors (see below), whose sum is σ = 4397331481893. Its totient is φ = 3175163789112.

The previous prime is 3742069720237. The next prime is 3742069720313. The reversal of 3742069720249 is 9420279602473.

The square root of 3742069720249 is 1934443.

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

3742069720249 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3742069720249 - 225 = 3742036165817 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3742069720249.

It is not an unprimeable number, because it can be changed into a prime (3742069720219) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1394732062 + ... + 1394734744.

It is an arithmetic number, because the mean of its divisors is an integer number (162864128959).

Almost surely, 23742069720249 is an apocalyptic number.

3742069720249 is the 1934443-rd square number.

3742069720249 is the 967222-nd centered octagonal number.

It is an amenable number.

3742069720249 is a deficient number, since it is larger than the sum of its proper divisors (655261761644).

3742069720249 is an frugal number, since it uses more digits than its factorization.

3742069720249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5586 (or 2793 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 55.

The spelling of 3742069720249 in words is "three trillion, seven hundred forty-two billion, sixty-nine million, seven hundred twenty thousand, two hundred forty-nine".

Divisors: 1 7 49 103 721 2683 5047 10609 18781 74263 131467 276349 519841 1934443 7198489 13541101 28463947 50389423 199247629 352725961 741444367 1394733403 5190110569 36330773983 76368769801 534581388607 3742069720249