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128999485440 = 21235572232
BaseRepresentation
bin111100000100011110…
…1111111000000000000
3110022222012021211200000
41320020331333000000
54103142332013230
6135132254400000
712214504351200
oct1701075770000
9408865254600
10128999485440
114a7879347a1
1221001800000
13c21a817397
14635a666400
1535500ceb60
hex1e08f7f000

128999485440 has 1404 divisors, whose sum is σ = 563883708024. Its totient is φ = 28203614208.

The previous prime is 128999485429. The next prime is 128999485453. The reversal of 128999485440 is 44584999821.

128999485440 is a `hidden beast` number, since 1 + 2 + 89 + 9 + 9 + 4 + 8 + 544 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5608673269 + ... + 5608673291.

Almost surely, 2128999485440 is an apocalyptic number.

128999485440 is a gapful number since it is divisible by the number (10) 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 128999485440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281941854012).

128999485440 is an abundant number, since it is smaller than the sum of its proper divisors (434884222584).

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

128999485440 is an frugal number, since it uses more digits than its factorization.

128999485440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 128999485440 in words is "one hundred twenty-eight billion, nine hundred ninety-nine million, four hundred eighty-five thousand, four hundred forty".