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12328327089 = 34134732
BaseRepresentation
bin10110111101101001…
…10101011110110001
31011211011220220110000
423132310311132301
5200222022431324
65355154500213
7614336023401
oct133664653661
934734826400
1012328327089
115257023681
122480894669
1312161a0000
1484d486801
154c24c79c9
hex2ded357b1

12328327089 has 75 divisors (see below), whose sum is σ = 20228080983. Its totient is φ = 7482735936.

The previous prime is 12328327069. The next prime is 12328327111. The reversal of 12328327089 is 98072382321.

The square root of 12328327089 is 111033.

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

12328327089 is a `hidden beast` number, since 1 + 23 + 283 + 270 + 89 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 12264455025 + 63872064 = 110745^2 + 7992^2 .

It is not a de Polignac number, because 12328327089 - 219 = 12327802801 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12328327009) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 168881157 + ... + 168881229.

Almost surely, 212328327089 is an apocalyptic number.

12328327089 is the 111033-rd square number.

12328327089 is the 55517-th centered octagonal number.

It is an amenable number.

12328327089 is a deficient number, since it is larger than the sum of its proper divisors (7899753894).

12328327089 is an frugal number, since it uses more digits than its factorization.

12328327089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 12328327089 in words is "twelve billion, three hundred twenty-eight million, three hundred twenty-seven thousand, eighty-nine".

Divisors: 1 3 9 13 27 39 73 81 117 169 219 351 507 657 949 1053 1521 1971 2197 2847 4563 5329 5913 6591 8541 12337 13689 15987 19773 25623 28561 37011 47961 59319 69277 76869 85683 111033 143883 160381 177957 207831 257049 333099 431649 481143 623493 771147 900601 999297 1443429 1870479 2084953 2313441 2701803 4330287 5611437 6254859 8105409 11707813 12990861 18764577 24316227 35123439 56293731 72948681 105370317 152201569 168881193 316110951 456604707 948332853 1369814121 4109442363 12328327089