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12507681853002 = 23759115119872207
BaseRepresentation
bin1011011000000010101111…
…1011110000111001001010
31122021201111212001101022010
42312000223323300321022
53114411213023244002
642333541050040350
72430436005401640
oct266005373607112
948251455041263
1012507681853002
113a92529371146
1214a00a54190b6
136c961419aabb
14313537131190
1516a54815846c
hexb602bef0e4a

12507681853002 has 128 divisors (see below), whose sum is σ = 29126641582080. Its totient is φ = 3506645246400.

The previous prime is 12507681852947. The next prime is 12507681853003. The reversal of 12507681853002 is 20035818670521.

12507681853002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12507681853003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5667276583 + ... + 5667278789.

It is an arithmetic number, because the mean of its divisors is an integer number (227551887360).

Almost surely, 212507681853002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12507681853002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14563320791040).

12507681853002 is an abundant number, since it is smaller than the sum of its proper divisors (16618959729078).

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

12507681853002 is a wasteful number, since it uses less digits than its factorization.

12507681853002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5416.

The product of its (nonzero) digits is 806400, while the sum is 48.

The spelling of 12507681853002 in words is "twelve trillion, five hundred seven billion, six hundred eighty-one million, eight hundred fifty-three thousand, two".

Divisors: 1 2 3 6 7 14 21 42 59 118 177 354 413 826 1151 1239 1987 2207 2302 2478 3453 3974 4414 5961 6621 6906 8057 11922 13242 13909 15449 16114 24171 27818 30898 41727 46347 48342 67909 83454 92694 117233 130213 135818 203727 234466 260426 351699 390639 407454 475363 703398 781278 820631 911491 950726 1426089 1641262 1822982 2287037 2461893 2540257 2734473 2852178 4385309 4574074 4923786 5080514 5468946 6861111 7620771 8770618 13155927 13722222 15241542 16009259 17781799 26311854 30697163 32018518 35563598 48027777 53345397 61394326 92091489 96055554 106690794 134935183 149875163 184182978 258733231 269870366 299750326 404805549 449625489 517466462 776199693 809611098 899250978 944546281 1049126141 1552399386 1811132617 1889092562 2098252282 2833638843 3147378423 3622265234 5047490659 5433397851 5667277686 6294756846 10094981318 10866795702 15142471977 30284943954 35332434613 70664869226 105997303839 211994607678 297801948881 595603897762 893405846643 1786811693286 2084613642167 4169227284334 6253840926501 12507681853002