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9981331899 = 373113723833
BaseRepresentation
bin10010100101110111…
…10000100110111011
3221202121122012022020
421102323300212323
5130420210110044
64330234325523
7502226631000
oct112273604673
927677565266
109981331899
114262224430
121b268898a3
13c30b82366
146a98a38a7
153d6421a19
hex252ef09bb

9981331899 has 64 divisors (see below), whose sum is σ = 17389286400. Its totient is φ = 5044757760.

The previous prime is 9981331897. The next prime is 9981331909.

9981331899 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 9981331899 - 21 = 9981331897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9981331891) 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 63 ways as a sum of consecutive naturals, for example, 406887 + ... + 430719.

It is an arithmetic number, because the mean of its divisors is an integer number (271707600).

Almost surely, 29981331899 is an apocalyptic number.

9981331899 is a deficient number, since it is larger than the sum of its proper divisors (7407954501).

9981331899 is a wasteful number, since it uses less digits than its factorization.

9981331899 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23905 (or 23891 counting only the distinct ones).

The product of its digits is 3779136, while the sum is 60.

The square root of 9981331899 is about 99906.6158920419. The cubic root of 9981331899 is about 2153.0932147790.

The spelling of 9981331899 in words is "nine billion, nine hundred eighty-one million, three hundred thirty-one thousand, eight hundred ninety-nine".

Divisors: 1 3 7 11 21 33 37 49 77 111 147 231 259 343 407 539 777 1029 1221 1617 1813 2849 3773 5439 8547 11319 12691 19943 23833 38073 59829 71499 139601 166831 262163 418803 500493 786489 881821 1167817 1835141 2645463 3503451 5505423 6172747 8174719 9700031 12845987 18518241 24524157 29100093 38537961 43209229 67900217 89921909 129627687 203700651 269765727 302464603 475301519 907393809 1425904557 3327110633 9981331899