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128399459664 = 2437317795807
BaseRepresentation
bin111011110010100110…
…1000100010101010000
3110021102101020101001010
41313211031010111100
54100430230202124
6134552542010520
712163600254000
oct1674515042520
9407371211033
10128399459664
114a4aa169523
1220a74876a40
13c15340cb48
146300ab4000
1535175a9529
hex1de5344550

128399459664 has 320 divisors, whose sum is σ = 414830592000. Its totient is φ = 34084657152.

The previous prime is 128399459651. The next prime is 128399459677. The reversal of 128399459664 is 466954993821.

It is an interprime number because it is at equal distance from previous prime (128399459651) and next prime (128399459677).

It is a junction number, because it is equal to n+sod(n) for n = 128399459595 and 128399459604.

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 63 ways as a sum of consecutive naturals, for example, 22108249 + ... + 22114055.

It is an arithmetic number, because the mean of its divisors is an integer number (1296345600).

Almost surely, 2128399459664 is an apocalyptic number.

128399459664 is a gapful number since it is divisible by the number (14) 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 128399459664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207415296000).

128399459664 is an abundant number, since it is smaller than the sum of its proper divisors (286431132336).

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

128399459664 is a wasteful number, since it uses less digits than its factorization.

128399459664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5935 (or 5915 counting only the distinct ones).

The product of its digits is 100776960, while the sum is 66.

The spelling of 128399459664 in words is "one hundred twenty-eight billion, three hundred ninety-nine million, four hundred fifty-nine thousand, six hundred sixty-four".