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12669708640320 = 263353167706019
BaseRepresentation
bin1011100001011110010101…
…1110111010000001000000
31122212012201210000222211000
42320113211132322001000
53130040030402442240
642540214522252000
72445233122355034
oct270274536720100
948765653028730
1012669708640320
114045214257646
121507583957000
1370b996300654
1431b307cb41c4
1516e87c9ea430
hexb85e57ba040

12669708640320 has 448 divisors, whose sum is σ = 46826409369600. Its totient is φ = 3220797634560.

The previous prime is 12669708640307. The next prime is 12669708640357. The reversal of 12669708640320 is 2304680796621.

12669708640320 is a `hidden beast` number, since 12 + 6 + 69 + 70 + 86 + 403 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17592271 + ... + 18298289.

It is an arithmetic number, because the mean of its divisors is an integer number (104523235200).

Almost surely, 212669708640320 is an apocalyptic number.

12669708640320 is a gapful number since it is divisible by the number (10) 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 12669708640320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23413204684800).

12669708640320 is an abundant number, since it is smaller than the sum of its proper divisors (34156700729280).

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

12669708640320 is a wasteful number, since it uses less digits than its factorization.

12669708640320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706143 (or 706127 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 12669708640320 in words is "twelve trillion, six hundred sixty-nine billion, seven hundred eight million, six hundred forty thousand, three hundred twenty".