Search a number
-
+
3367382811849 = 3272873832
BaseRepresentation
bin110001000000000111101…
…010000000010011001001
3102220220210200211210212100
4301000013222000103021
5420132344444434344
611054542044104013
7465166612430100
oct61000752002311
912826720753770
103367382811849
11108910a89a931
12464755835009
131b57097c58c4
14b8da7217037
155c8d788a569
hex31007a804c9

3367382811849 has 27 divisors (see below), whose sum is σ = 5658184170093. Its totient is φ = 1924196729112.

The previous prime is 3367382811847. The next prime is 3367382811883. The reversal of 3367382811849 is 9481182837633.

The square root of 3367382811849 is 1835043.

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

3367382811849 is a `hidden beast` number, since 336 + 7 + 3 + 8 + 281 + 18 + 4 + 9 = 666.

It is not a de Polignac number, because 3367382811849 - 21 = 3367382811847 is a prime.

It is a super-2 number, since 2×33673828118492 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (3367382811847) 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, 38492212 + ... + 38579594.

Almost surely, 23367382811849 is an apocalyptic number.

3367382811849 is the 1835043-rd square number.

3367382811849 is the 917522-nd centered octagonal number.

It is an amenable number.

3367382811849 is a deficient number, since it is larger than the sum of its proper divisors (2290801358244).

3367382811849 is an frugal number, since it uses more digits than its factorization.

3367382811849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174786 (or 87393 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 63.

The spelling of 3367382811849 in words is "three trillion, three hundred sixty-seven billion, three hundred eighty-two million, eight hundred eleven thousand, eight hundred forty-nine".

Divisors: 1 3 7 9 21 49 63 147 441 87383 262149 611681 786447 1835043 4281767 5505129 12845301 38535903 7635788689 22907366067 53450520823 68722098201 160351562469 374153645761 481054687407 1122460937283 3367382811849