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68186615486112 = 25321747296319251
BaseRepresentation
bin11111000000011111011101…
…11111101001011010100000
322221102120120110201211222100
433200033232333221122200
532414132142031023422
6401004255420010400
720235214616421414
oct1740175677513240
9287376513654870
1068186615486112
111a7a9865903112
127793033690a00
132c07c7c8411c6
1412ba36d638d44
157d3a54dd57ac
hex3e03eefe96a0

68186615486112 has 144 divisors (see below), whose sum is σ = 209680243823232. Its totient is φ = 20936732928000.

The previous prime is 68186615486111. The next prime is 68186615486123. The reversal of 68186615486112 is 21168451668186.

68186615486112 is a `hidden beast` number, since 6 + 8 + 1 + 8 + 6 + 6 + 1 + 5 + 4 + 8 + 611 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 68186615486112.

It is not an unprimeable number, because it can be changed into a prime (68186615486111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147929514 + ... + 148389737.

It is an arithmetic number, because the mean of its divisors is an integer number (1456112804328).

Almost surely, 268186615486112 is an apocalyptic number.

It is an amenable number.

68186615486112 is an abundant number, since it is smaller than the sum of its proper divisors (141493628337120).

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

68186615486112 is a wasteful number, since it uses less digits than its factorization.

68186615486112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296319331 (or 296319320 counting only the distinct ones).

The product of its digits is 26542080, while the sum is 63.

The spelling of 68186615486112 in words is "sixty-eight trillion, one hundred eighty-six billion, six hundred fifteen million, four hundred eighty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 47 48 51 68 72 94 96 102 136 141 144 153 188 204 272 282 288 306 376 408 423 544 564 612 752 799 816 846 1128 1224 1504 1598 1632 1692 2256 2397 2448 3196 3384 4512 4794 4896 6392 6768 7191 9588 12784 13536 14382 19176 25568 28764 38352 57528 76704 115056 230112 296319251 592638502 888957753 1185277004 1777915506 2370554008 2666873259 3555831012 4741108016 5037427267 5333746518 7111662024 9482216032 10074854534 10667493036 13927004797 14223324048 15112281801 20149709068 21334986072 27854009594 28446648096 30224563602 40299418136 41781014391 42669972144 45336845403 55708019188 60449127204 80598836272 83562028782 85339944288 90673690806 111416038376 120898254408 125343043173 161197672544 167124057564 181347381612 222832076752 236759081549 241796508816 250686086346 334248115128 362694763224 445664153504 473518163098 483593017632 501372172692 668496230256 710277244647 725389526448 947036326196 1002744345384 1336992460512 1420554489294 1450779052896 1894072652392 2005488690768 2130831733941 2841108978588 3788145304784 4010977381536 4261663467882 5682217957176 7576290609568 8523326935764 11364435914352 17046653871528 22728871828704 34093307743056 68186615486112