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12068415652608 = 28337271895639
BaseRepresentation
bin1010111110011110010110…
…1000001100001100000000
31120201201200122012100122000
42233213211220030030000
53040212103401340413
641400053102544000
72353625406323400
oct257474550141400
946651618170560
1012068415652608
113933206016267
12142ab33b98000
1369707b821b73
142da186016800
1515ddd93c5073
hexaf9e5a0c300

12068415652608 has 864 divisors, whose sum is σ = 42580411776000. Its totient is φ = 3360760381440.

The previous prime is 12068415652597. The next prime is 12068415652693. The reversal of 12068415652608 is 80625651486021.

12068415652608 is a `hidden beast` number, since 1 + 2 + 0 + 68 + 4 + 1 + 56 + 526 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×120684156526082 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 95 ways as a sum of consecutive naturals, for example, 2140166653 + ... + 2140172291.

It is an arithmetic number, because the mean of its divisors is an integer number (49282884000).

Almost surely, 212068415652608 is an apocalyptic number.

12068415652608 is a gapful number since it is divisible by the number (18) 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 12068415652608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21290205888000).

12068415652608 is an abundant number, since it is smaller than the sum of its proper divisors (30511996123392).

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

12068415652608 is an equidigital number, since it uses as much as digits as its factorization.

12068415652608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5838 (or 5811 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 12068415652608 in words is "twelve trillion, sixty-eight billion, four hundred fifteen million, six hundred fifty-two thousand, six hundred eight".