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12662708419008 = 2634471272291787
BaseRepresentation
bin1011100001000100010000…
…1111001011100111000000
31122211112122220212220110000
42320101010033023213000
53124431211323402013
642533100135240000
72444564501434404
oct270210417134700
948745586786400
1012662708419008
11404225187177a
12150614b519000
1370b11bc4aa6b
1431ac422db104
1516e5bd18a973
hexb84443cb9c0

12662708419008 has 560 divisors, whose sum is σ = 38827162091520. Its totient is φ = 4078386837504.

The previous prime is 12662708419003. The next prime is 12662708419019. The reversal of 12662708419008 is 80091480726621.

It is a happy number.

12662708419008 is a `hidden beast` number, since 1 + 2 + 6 + 627 + 0 + 8 + 4 + 1 + 9 + 0 + 0 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12662708419003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7086013891 + ... + 7086015677.

Almost surely, 212662708419008 is an apocalyptic number.

12662708419008 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 12662708419008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19413581045760).

12662708419008 is an abundant number, since it is smaller than the sum of its proper divisors (26164453672512).

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

12662708419008 is a wasteful number, since it uses less digits than its factorization.

12662708419008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2214 (or 2195 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 12662708419008 in words is "twelve trillion, six hundred sixty-two billion, seven hundred eight million, four hundred nineteen thousand, eight".