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130646681312 = 25717931110477
BaseRepresentation
bin111100110101100100…
…1100010011011100000
3110111012222210001121112
41321223021202123200
54120031022300222
6140003535442452
712303355316420
oct1715311423340
9414188701545
10130646681312
11504527113a4
12213a1386428
13c420b660b4
146475324480
1535e9a02be2
hex1e6b2626e0

130646681312 has 96 divisors (see below), whose sum is σ = 296576017920. Its totient is φ = 55494305280.

The previous prime is 130646681309. The next prime is 130646681323. The reversal of 130646681312 is 213186646031.

It is a self number, because there is not a number n which added to its sum of digits gives 130646681312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12464618 + ... + 12475094.

It is an arithmetic number, because the mean of its divisors is an integer number (3089333520).

Almost surely, 2130646681312 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 130646681312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148288008960).

130646681312 is an abundant number, since it is smaller than the sum of its proper divisors (165929336608).

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

130646681312 is a wasteful number, since it uses less digits than its factorization.

130646681312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10984 (or 10976 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 41.

The spelling of 130646681312 in words is "one hundred thirty billion, six hundred forty-six million, six hundred eighty-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 179 224 311 358 622 716 1244 1253 1432 2177 2488 2506 2864 4354 4976 5012 5728 8708 9952 10024 10477 17416 20048 20954 34832 40096 41908 55669 69664 73339 83816 111338 146678 167632 222676 293356 335264 389683 445352 586712 779366 890704 1173424 1558732 1781408 1875383 2346848 3117464 3258347 3750766 6234928 6516694 7501532 12469856 13033388 13127681 15003064 22808429 26066776 26255362 30006128 45616858 52133552 52510724 60012256 91233716 104267104 105021448 182467432 210042896 364934864 420085792 583244113 729869728 1166488226 2332976452 4082708791 4665952904 8165417582 9331905808 16330835164 18663811616 32661670328 65323340656 130646681312