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12517649312 = 2571914512027
BaseRepresentation
bin10111010100001110…
…00010101110100000
31012022101011110201012
423222013002232200
5201114004234222
65430040400052
7622125156260
oct135207025640
935271143635
1012517649312
115343983223
122514176028
1312464890ac
1486a6897a0
154d3e231e2
hex2ea1c2ba0

12517649312 has 96 divisors (see below), whose sum is σ = 29682132480. Its totient is φ = 5076345600.

The previous prime is 12517649297. The next prime is 12517649317. The reversal of 12517649312 is 21394671521.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 12517649312.

It is not an unprimeable number, because it can be changed into a prime (12517649317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6174443 + ... + 6176469.

It is an arithmetic number, because the mean of its divisors is an integer number (309188880).

Almost surely, 212517649312 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 12517649312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14841066240).

12517649312 is an abundant number, since it is smaller than the sum of its proper divisors (17164483168).

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

12517649312 is a wasteful number, since it uses less digits than its factorization.

12517649312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3514 (or 3506 counting only the distinct ones).

The product of its digits is 90720, while the sum is 41.

The spelling of 12517649312 in words is "twelve billion, five hundred seventeen million, six hundred forty-nine thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 266 304 532 608 1064 1451 2027 2128 2902 4054 4256 5804 8108 10157 11608 14189 16216 20314 23216 27569 28378 32432 38513 40628 46432 55138 56756 64864 77026 81256 110276 113512 154052 162512 192983 220552 227024 269591 308104 325024 385966 441104 454048 539182 616208 771932 882208 1078364 1232416 1543864 2156728 2941177 3087728 4313456 5882354 6175456 8626912 11764708 20588239 23529416 41176478 47058832 55882363 82352956 94117664 111764726 164705912 223529452 329411824 391176541 447058904 658823648 782353082 894117808 1564706164 1788235616 3129412328 6258824656 12517649312