Search a number
-
+
12561193827888 = 2434171203944089
BaseRepresentation
bin1011011011001010000101…
…1111101111111000110000
31122110211122012021100202220
42312302201133233320300
53121300311104443023
642414311025241040
72434342043600346
oct266624137577060
948424565240686
1012561193827888
11400319949a982
1214aa53a493180
1370169170a874
14315d72059996
1516bb2aec33e3
hexb6ca17efe30

12561193827888 has 160 divisors (see below), whose sum is σ = 33726691353600. Its totient is φ = 4025340211200.

The previous prime is 12561193827887. The next prime is 12561193827961. The reversal of 12561193827888 is 88872839116521.

It is not an unprimeable number, because it can be changed into a prime (12561193827883) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 284883348 + ... + 284927436.

It is an arithmetic number, because the mean of its divisors is an integer number (210791820960).

Almost surely, 212561193827888 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 12561193827888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16863345676800).

12561193827888 is an abundant number, since it is smaller than the sum of its proper divisors (21165497525712).

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

12561193827888 is a wasteful number, since it uses less digits than its factorization.

12561193827888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46251 (or 46245 counting only the distinct ones).

The product of its digits is 92897280, while the sum is 69.

The spelling of 12561193827888 in words is "twelve trillion, five hundred sixty-one billion, one hundred ninety-three million, eight hundred twenty-seven thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 71 82 123 142 164 213 246 284 328 426 492 568 656 852 984 1136 1704 1968 2039 2911 3408 4078 5822 6117 8156 8733 11644 12234 16312 17466 23288 24468 32624 34932 44089 46576 48936 69864 83599 88178 97872 132267 139728 144769 167198 176356 250797 264534 289538 334396 352712 434307 501594 529068 579076 668792 705424 868614 1003188 1058136 1158152 1337584 1737228 1807649 2006376 2116272 2316304 3130319 3474456 3615298 4012752 5422947 5935529 6260638 6948912 7230596 9390957 10845894 11871058 12521276 14461192 17806587 18781914 21691788 23742116 25042552 28922384 35613174 37563828 43383576 47484232 50085104 71226348 75127656 86767152 89897471 94968464 128343079 142452696 150255312 179794942 256686158 269692413 284905392 359589884 385029237 513372316 539384826 719179768 770058474 1026744632 1078769652 1438359536 1540116948 2053489264 2157539304 3080233896 3685796311 4315078608 6160467792 6382720441 7371592622 11057388933 12765440882 14743185244 19148161323 22114777866 25530881764 29486370488 38296322646 44229555732 51061763528 58972740976 76592645292 88459111464 102123527056 153185290584 176918222928 261691538081 306370581168 523383076162 785074614243 1046766152324 1570149228486 2093532304648 3140298456972 4187064609296 6280596913944 12561193827888