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28017605512 = 2313229241601
BaseRepresentation
bin11010000101111110…
…101011101110001000
32200022121001211101001
4122011332223232020
5424340001334022
620512054304344
72011205501041
oct320576535610
980277054331
1028017605512
1110978231786
12551b0580b4
132846773300
1414db0538c8
15adea92b27
hex685fabb88

28017605512 has 144 divisors (see below), whose sum is σ = 60451389180. Its totient is φ = 12160512000.

The previous prime is 28017605507. The next prime is 28017605519. The reversal of 28017605512 is 21550671082.

It can be written as a sum of positive squares in 18 ways, for example, as 5543398116 + 22474207396 = 74454^2 + 149914^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28017605519) 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 35 ways as a sum of consecutive naturals, for example, 46618012 + ... + 46618612.

Almost surely, 228017605512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28017605512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30225694590).

28017605512 is an abundant number, since it is smaller than the sum of its proper divisors (32433783668).

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

28017605512 is a wasteful number, since it uses less digits than its factorization.

28017605512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 37.

The spelling of 28017605512 in words is "twenty-eight billion, seventeen million, six hundred five thousand, five hundred twelve".

Divisors: 1 2 4 8 13 26 29 41 52 58 82 104 116 164 169 232 328 338 377 533 601 676 754 841 1066 1189 1202 1352 1508 1682 2132 2378 2404 3016 3364 4264 4756 4808 4901 6728 6929 7813 9512 9802 10933 13858 15457 15626 17429 19604 21866 24641 27716 30914 31252 34481 34858 39208 43732 49282 55432 61828 62504 68962 69716 87464 98564 101569 123656 137924 139432 142129 197128 200941 203138 226577 275848 284258 320333 401882 406276 448253 453154 505441 568516 640666 714589 803764 812552 896506 906308 1010882 1137032 1281332 1429178 1607528 1793012 1812616 2021764 2562664 2858356 2945501 3586024 4043528 4164329 5716712 5827289 5891002 6570733 8328658 9289657 11654578 11782004 13141466 16657316 18579314 20723081 23309156 23564008 26282932 33314632 37158628 41446162 46618312 52565864 74317256 82892324 85419529 120765541 165784648 170839058 241531082 269400053 341678116 483062164 538800106 683356232 966124328 1077600212 2155200424 3502200689 7004401378 14008802756 28017605512