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6744012773121 = 32131714713230453
BaseRepresentation
bin110001000100011011001…
…1111000101011100000001
3212212201110211211111000100
41202020312133011130001
51340443214232214441
622202053502513013
71264144631511411
oct142106637053401
925781424744010
106744012773121
112170135437a08
1290b050295769
1339bc5b023850
141945aa5bc641
15ba661e71cb6
hex622367c5701

6744012773121 has 48 divisors (see below), whose sum is σ = 11108588911056. Its totient is φ = 3905752117248.

The previous prime is 6744012773117. The next prime is 6744012773273. The reversal of 6744012773121 is 1213772104476.

6744012773121 is a `hidden beast` number, since 6 + 7 + 440 + 12 + 7 + 73 + 121 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 585867776400 + 6158144996721 = 765420^2 + 2481561^2 .

It is not a de Polignac number, because 6744012773121 - 22 = 6744012773117 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6744012073121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29148931 + ... + 29379383.

It is an arithmetic number, because the mean of its divisors is an integer number (231428935647).

Almost surely, 26744012773121 is an apocalyptic number.

It is an amenable number.

6744012773121 is a deficient number, since it is larger than the sum of its proper divisors (4364576137935).

6744012773121 is a wasteful number, since it uses less digits than its factorization.

6744012773121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245202 (or 245199 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

Adding to 6744012773121 its reverse (1213772104476), we get a palindrome (7957784877597).

The spelling of 6744012773121 in words is "six trillion, seven hundred forty-four billion, twelve million, seven hundred seventy-three thousand, one hundred twenty-one".

Divisors: 1 3 9 13 17 39 51 117 153 221 663 1989 14713 44139 132417 191269 230453 250121 573807 691359 750363 1721421 2074077 2251089 2995889 3251573 3917701 8987667 9754719 11753103 26963001 29264157 35259309 50930113 152790339 458371017 3390654989 10171964967 30515894901 44078514857 57641134813 132235544571 172923404439 396706633713 518770213317 749334752569 2248004257707 6744012773121