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991344319119 = 327119714747539
BaseRepresentation
bin11100110110100001011…
…10011101101010001111
310111202211111020021111200
432123100232131222033
5112220233121202434
62035230045120543
7131423302451550
oct16332056355217
93452744207450
10991344319119
11352477029820
12140167259153
1372638c62a8b
1435da4a60327
151abc1900199
hexe6d0b9da8f

991344319119 has 48 divisors (see below), whose sum is σ = 1803683132160. Its totient is φ = 509674913280.

The previous prime is 991344319099. The next prime is 991344319127. The reversal of 991344319119 is 911913443199.

991344319119 is a `hidden beast` number, since 9 + 9 + 1 + 3 + 443 + 191 + 1 + 9 = 666.

It is not a de Polignac number, because 991344319119 - 215 = 991344286351 is a prime.

It is a super-2 number, since 2×9913443191192 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (991344319129) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 7306549 + ... + 7440990.

It is an arithmetic number, because the mean of its divisors is an integer number (37576731920).

Almost surely, 2991344319119 is an apocalyptic number.

991344319119 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

991344319119 is a deficient number, since it is larger than the sum of its proper divisors (812338813041).

991344319119 is a wasteful number, since it uses less digits than its factorization.

991344319119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14747660 (or 14747657 counting only the distinct ones).

The product of its digits is 944784, while the sum is 54.

The spelling of 991344319119 in words is "nine hundred ninety-one billion, three hundred forty-four million, three hundred nineteen thousand, one hundred nineteen".

Divisors: 1 3 7 9 11 21 33 63 77 97 99 231 291 679 693 873 1067 2037 3201 6111 7469 9603 22407 67221 14747539 44242617 103232773 132727851 162222929 309698319 486668787 929094957 1135560503 1430511283 1460006361 3406681509 4291533849 10013578981 10220044527 12874601547 15735624113 30040736943 47206872339 90122210829 110149368791 141620617017 330448106373 991344319119