Search a number
-
+
3744838744465 = 571347538732507
BaseRepresentation
bin110110011111101001110…
…010000111100110010001
3111021000002020202220020111
4312133221302013212101
5442323412204310330
611544204414441321
7534361411060120
oct66375162074621
914230066686214
103744838744465
1112141a4930785
12505936b03241
132121a166abb0
14cd373291ab7
1567629ed532a
hex367e9c87991

3744838744465 has 64 divisors (see below), whose sum is σ = 5649738522624. Its totient is φ = 2319424282368.

The previous prime is 3744838744447. The next prime is 3744838744477. The reversal of 3744838744465 is 5644478384473.

It is a cyclic number.

It is not a de Polignac number, because 3744838744465 - 25 = 3744838744433 is a prime.

It is a Smith number, since the sum of its digits (67) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 3744838744465.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 115184742 + ... + 115217248.

It is an arithmetic number, because the mean of its divisors is an integer number (88277164416).

Almost surely, 23744838744465 is an apocalyptic number.

3744838744465 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3744838744465 is a deficient number, since it is larger than the sum of its proper divisors (1904899778159).

3744838744465 is a wasteful number, since it uses less digits than its factorization.

3744838744465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37966.

The product of its digits is 867041280, while the sum is 67.

The spelling of 3744838744465 in words is "three trillion, seven hundred forty-four billion, eight hundred thirty-eight million, seven hundred forty-four thousand, four hundred sixty-five".

Divisors: 1 5 7 13 35 47 65 91 235 329 455 611 1645 3055 4277 5387 21385 26935 32507 37709 70031 162535 188545 227549 253189 350155 422591 490217 1137745 1265945 1527829 1772323 2112955 2451085 2958137 3291457 7639145 8861615 10694803 14790685 16457285 19861777 23040199 53474015 99308885 115200995 139032439 175115209 695162195 875576045 1225806463 2276497717 6129032315 8230414823 11382488585 15935484019 41152074115 57612903761 79677420095 106995392699 288064518805 534976963495 748967748893 3744838744465