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128397127716 = 223211131910931201
BaseRepresentation
bin111011110010100010…
…0001011000000100100
3110021102012211220012200
41313211010023000210
54100424131041331
6134552420014500
712163541402214
oct1674504130044
9407365756180
10128397127716
114a4a89164a0
1220a73b31430
13c152aa45b0
146300668244
1535172985e6
hex1de510b024

128397127716 has 288 divisors, whose sum is σ = 402070730880. Its totient is φ = 33965568000.

The previous prime is 128397127709. The next prime is 128397127759. The reversal of 128397127716 is 617721793821.

128397127716 is a `hidden beast` number, since 1 + 283 + 97 + 1 + 277 + 1 + 6 = 666.

128397127716 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 106907916 + ... + 106909116.

Almost surely, 2128397127716 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128397127716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201035365440).

128397127716 is an abundant number, since it is smaller than the sum of its proper divisors (273673603164).

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

128397127716 is a wasteful number, since it uses less digits than its factorization.

128397127716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2347 (or 2342 counting only the distinct ones).

The product of its digits is 1778112, while the sum is 54.

The spelling of 128397127716 in words is "one hundred twenty-eight billion, three hundred ninety-seven million, one hundred twenty-seven thousand, seven hundred sixteen".