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1128316328964 = 2232117339031283
BaseRepresentation
bin10000011010110100111…
…001001101110000000100
310222212101022020022122100
4100122310321031300010
5121441242440011324
62222201422432100
7144342505360326
oct20326471156004
93885338208570
101128316328964
113a5575175060
12162812a32630
13825273c0306
143c87a07b616
151e53b89e4c9
hex106b4e4dc04

1128316328964 has 72 divisors (see below), whose sum is σ = 3154039997472. Its totient is φ = 337230276480.

The previous prime is 1128316328959. The next prime is 1128316328969. The reversal of 1128316328964 is 4698236138211.

It is a happy number.

1128316328964 is a `hidden beast` number, since 11 + 283 + 16 + 3 + 289 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (1128316328959) and next prime (1128316328969).

It is a self number, because there is not a number n which added to its sum of digits gives 1128316328964.

It is not an unprimeable number, because it can be changed into a prime (1128316328969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19486734 + ... + 19544549.

It is an arithmetic number, because the mean of its divisors is an integer number (43806111076).

Almost surely, 21128316328964 is an apocalyptic number.

It is an amenable number.

1128316328964 is an abundant number, since it is smaller than the sum of its proper divisors (2025723668508).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1128316328964 is a wasteful number, since it uses less digits than its factorization.

1128316328964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39031377 (or 39031372 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 1128316328964 in words is "one trillion, one hundred twenty-eight billion, three hundred sixteen million, three hundred twenty-eight thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 73 99 132 146 198 219 292 396 438 657 803 876 1314 1606 2409 2628 3212 4818 7227 9636 14454 28908 39031283 78062566 117093849 156125132 234187698 351281547 429344113 468375396 702563094 858688226 1288032339 1405126188 1717376452 2576064678 2849283659 3864097017 5152129356 5698567318 7728194034 8547850977 11397134636 15456388068 17095701954 25643552931 31342120249 34191403908 51287105862 62684240498 94026360747 102574211724 125368480996 188052721494 282079082241 376105442988 564158164482 1128316328964