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12629758272768 = 2832721321096073
BaseRepresentation
bin1011011111001001100001…
…0000010110010100000000
31122201101121120101001020100
42313302120100112110000
53123411221104212033
642510010355242400
72442320120011200
oct267623020262400
948641546331210
1012629758272768
11402a28331915a
1214bb8945a9400
13707c9a608100
143193d8146400
1516d7e0569513
hexb7c98416500

12629758272768 has 972 divisors, whose sum is σ = 46297513882620. Its totient is φ = 3299822862336.

The previous prime is 12629758272751. The next prime is 12629758272773. The reversal of 12629758272768 is 86727285792621.

12629758272768 is a `hidden beast` number, since 1 + 2 + 6 + 297 + 5 + 8 + 272 + 7 + 68 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 33164780544 + 12596593492224 = 182112^2 + 3549168^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 12629758272696 and 12629758272705.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2079654180 + ... + 2079660252.

Almost surely, 212629758272768 is an apocalyptic number.

12629758272768 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 12629758272768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23148756941310).

12629758272768 is an abundant number, since it is smaller than the sum of its proper divisors (33667755609852).

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

12629758272768 is a wasteful number, since it uses less digits than its factorization.

12629758272768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6244 (or 6207 counting only the distinct ones).

The product of its digits is 568995840, while the sum is 72.

The spelling of 12629758272768 in words is "twelve trillion, six hundred twenty-nine billion, seven hundred fifty-eight million, two hundred seventy-two thousand, seven hundred sixty-eight".