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10675231231824 = 2433113218683039
BaseRepresentation
bin1001101101011000010101…
…0111011000111101010000
31101210112122012220212012000
42123112011113120331100
52344400333143404244
634412044501434000
72151155116202565
oct233260527307520
941715565825160
1010675231231824
113446381800575
121244b2140b900
135c5892c5cb03
1428c980a7c86c
15137a497a1169
hex9b5855d8f50

10675231231824 has 80 divisors (see below), whose sum is σ = 30913034534400. Its totient is φ = 3526920036864.

The previous prime is 10675231231813. The next prime is 10675231231849. The reversal of 10675231231824 is 42813213257601.

10675231231824 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 523 + 12 + 31 + 82 + 4 = 666.

10675231231824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106752312318242 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10675231231824.

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, 109292704 + ... + 109390335.

It is an arithmetic number, because the mean of its divisors is an integer number (386412931680).

Almost surely, 210675231231824 is an apocalyptic number.

It is an amenable number.

10675231231824 is an abundant number, since it is smaller than the sum of its proper divisors (20237803302576).

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

10675231231824 is a wasteful number, since it uses less digits than its factorization.

10675231231824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218683169 (or 218683157 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 10675231231824 in words is "ten trillion, six hundred seventy-five billion, two hundred thirty-one million, two hundred thirty-one thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 113 144 216 226 339 432 452 678 904 1017 1356 1808 2034 2712 3051 4068 5424 6102 8136 12204 16272 24408 48816 218683039 437366078 656049117 874732156 1312098234 1749464312 1968147351 2624196468 3498928624 3936294702 5248392936 5904442053 7872589404 10496785872 11808884106 15745178808 23617768212 24711183407 31490357616 47235536424 49422366814 74133550221 94471072848 98844733628 148267100442 197689467256 222400650663 296534200884 395378934512 444801301326 593068401768 667201951989 889602602652 1186136803536 1334403903978 1779205205304 2668807807956 3558410410608 5337615615912 10675231231824