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12068655348015 = 3257515957181
BaseRepresentation
bin1010111110011111001111…
…1010100011100100101111
31120201202022100020010220200
42233213303322203210233
53040213101232114030
641400132544244543
72353634346600000
oct257476372434457
946652270203820
1012068655348015
113933319350a42
12142aba0310753
136970b9397176
142da1a9bad1a7
1515de00470d60
hexaf9f3ea392f

12068655348015 has 72 divisors (see below), whose sum is σ = 24405297123168. Its totient is φ = 5517099241920.

The previous prime is 12068655347921. The next prime is 12068655348089. The reversal of 12068655348015 is 51084355686021.

12068655348015 is a `hidden beast` number, since 1 + 2 + 0 + 6 + 8 + 6 + 553 + 4 + 80 + 1 + 5 = 666.

It is not a de Polignac number, because 12068655348015 - 28 = 12068655347759 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7222276 + ... + 8734905.

It is an arithmetic number, because the mean of its divisors is an integer number (338962460044).

Almost surely, 212068655348015 is an apocalyptic number.

12068655348015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12068655348015 is an abundant number, since it is smaller than the sum of its proper divisors (12336641775153).

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

12068655348015 is an frugal number, since it uses more digits than its factorization.

12068655348015 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15957227 (or 15957196 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 12068655348015 in words is "twelve trillion, sixty-eight billion, six hundred fifty-five million, three hundred forty-eight thousand, fifteen".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 343 441 735 1029 1715 2205 2401 3087 5145 7203 12005 15435 16807 21609 36015 50421 84035 108045 151263 252105 756315 15957181 47871543 79785905 111700267 143614629 239357715 335100801 558501335 718073145 781901869 1005302403 1675504005 2345705607 3909509345 5026512015 5473313083 7037116821 11728528035 16419939249 27366565415 35185584105 38313191581 49259817747 82099696245 114939574743 191565957905 246299088735 268192341067 344818724229 574697873715 804577023201 1340961705335 1724093621145 2413731069603 4022885116005 12068655348015