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128466067968 = 2932723434027
BaseRepresentation
bin111011110100100101…
…1001010001000000000
3110021121000120102110100
41313221023022020000
54101044303133333
6135003321402400
712165336363210
oct1675113121000
9407530512410
10128466067968
114a533823307
1220a93039400
13c164161944
146309892240
15351d365213
hex1de92ca200

128466067968 has 480 divisors, whose sum is σ = 452545606656. Its totient is φ = 34283741184.

The previous prime is 128466067957. The next prime is 128466067987. The reversal of 128466067968 is 869760664821.

128466067968 is a `hidden beast` number, since 1 + 28 + 466 + 0 + 67 + 96 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31899171 + ... + 31903197.

Almost surely, 2128466067968 is an apocalyptic number.

128466067968 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 128466067968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226272803328).

128466067968 is an abundant number, since it is smaller than the sum of its proper divisors (324079538688).

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

128466067968 is a wasteful number, since it uses less digits than its factorization.

128466067968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4124 (or 4105 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 128466067968 in words is "one hundred twenty-eight billion, four hundred sixty-six million, sixty-seven thousand, nine hundred sixty-eight".