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63134444313 = 32436713118587
BaseRepresentation
bin111010110011000110…
…110010101100011001
320000221221121002000100
4322303012302230121
52013244404204223
645000434130013
74363346631213
oct726306625431
9200857532010
1063134444313
1124858825506
121029b720909
135c51c55075
1430acc955b3
151997a02043
hexeb31b2b19

63134444313 has 48 divisors (see below), whose sum is σ = 95435847936. Its totient is φ = 40185905760.

The previous prime is 63134444221. The next prime is 63134444323. The reversal of 63134444313 is 31344443136.

63134444313 is a `hidden beast` number, since 631 + 3 + 4 + 4 + 4 + 4 + 3 + 13 = 666.

It is not a de Polignac number, because 63134444313 - 214 = 63134427929 is a prime.

It is a super-2 number, since 2×631344443132 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (63134444323) 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, 3387406 + ... + 3405992.

It is an arithmetic number, because the mean of its divisors is an integer number (1988246832).

Almost surely, 263134444313 is an apocalyptic number.

It is an amenable number.

63134444313 is a deficient number, since it is larger than the sum of its proper divisors (32301403623).

63134444313 is a wasteful number, since it uses less digits than its factorization.

63134444313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18834 (or 18831 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

Adding to 63134444313 its reverse (31344443136), we get a palindrome (94478887449).

The spelling of 63134444313 in words is "sixty-three billion, one hundred thirty-four million, four hundred forty-four thousand, three hundred thirteen".

Divisors: 1 3 9 43 67 129 131 201 387 393 603 1179 2881 5633 8643 8777 16899 18587 25929 26331 50697 55761 78993 167283 377411 799241 1132233 1245329 2397723 2434897 3396699 3735987 7193169 7304691 11207961 21914073 53549147 104700571 160647441 163138099 314101713 481942323 489414297 942305139 1468242891 7014938257 21044814771 63134444313