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13568751612 = 2231213491
BaseRepresentation
bin11001010001100001…
…01011011111111100
31022000122000000000000
430220300223133330
5210242100022422
610122225234300
7660150325413
oct145060533774
938018000000
1013568751612
11583322aa09
122768192990
131383179310
1492a0da47a
1554634acac
hex328c2b7fc

13568751612 has 156 divisors (see below), whose sum is σ = 38435914776. Its totient is φ = 4166497440.

The previous prime is 13568751607. The next prime is 13568751649. The reversal of 13568751612 is 21615786531.

13568751612 is a `hidden beast` number, since 1 + 3 + 56 + 87 + 516 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (156).

It is a super-2 number, since 2×135687516122 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 51 ways as a sum of consecutive naturals, for example, 27634687 + ... + 27635177.

Almost surely, 213568751612 is an apocalyptic number.

13568751612 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13568751612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19217957388).

13568751612 is an abundant number, since it is smaller than the sum of its proper divisors (24867163164).

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

13568751612 is an frugal number, since it uses more digits than its factorization.

13568751612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 509 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The spelling of 13568751612 in words is "thirteen billion, five hundred sixty-eight million, seven hundred fifty-one thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 243 324 351 468 486 491 702 729 972 982 1053 1404 1458 1473 1964 2106 2187 2916 2946 3159 4212 4374 4419 5892 6318 6383 6561 8748 8838 9477 12636 12766 13122 13257 17676 18954 19149 19683 25532 26244 26514 28431 37908 38298 39366 39771 53028 56862 57447 59049 76596 78732 79542 85293 113724 114894 118098 119313 159084 170586 172341 177147 229788 236196 238626 255879 341172 344682 354294 357939 477252 511758 517023 531441 689364 708588 715878 767637 1023516 1034046 1062882 1073817 1431756 1535274 1551069 2068092 2125764 2147634 2302911 3070548 3102138 3221451 4295268 4605822 4653207 6204276 6442902 6908733 9211644 9306414 9664353 12885804 13817466 13959621 18612828 19328706 27634932 27919242 28993059 38657412 41878863 55838484 57986118 83757726 86979177 115972236 125636589 167515452 173958354 251273178 260937531 347916708 376909767 502546356 521875062 753819534 1043750124 1130729301 1507639068 2261458602 3392187903 4522917204 6784375806 13568751612