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13129789595328 = 2632713977330307
BaseRepresentation
bin1011111100010000010001…
…1100011101111011000000
31201111012021121112002221200
42333010010130131323000
53210104302114022303
643531424142021200
72523411266065140
oct277040434357300
951435247462850
1013129789595328
114202348a2a76a
121580783b77800
137431980a1b33
143356b15a0920
1517b808cd83a3
hexbf10471dec0

13129789595328 has 336 divisors, whose sum is σ = 43377381815040. Its totient is φ = 3719439378432.

The previous prime is 13129789595323. The next prime is 13129789595389. The reversal of 13129789595328 is 82359598792131.

13129789595328 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 9 + 7 + 8 + 9 + 595 + 3 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-4 number, since 4×131297895953284 (a number of 54 digits) contains 4444 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (13129789595323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 433211151 + ... + 433241457.

It is an arithmetic number, because the mean of its divisors is an integer number (129099350640).

Almost surely, 213129789595328 is an apocalyptic number.

13129789595328 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 13129789595328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21688690907520).

13129789595328 is an abundant number, since it is smaller than the sum of its proper divisors (30247592219712).

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

13129789595328 is a wasteful number, since it uses less digits than its factorization.

13129789595328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31244 (or 31231 counting only the distinct ones).

The product of its digits is 293932800, while the sum is 72.

The spelling of 13129789595328 in words is "thirteen trillion, one hundred twenty-nine billion, seven hundred eighty-nine million, five hundred ninety-five thousand, three hundred twenty-eight".