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128009351008 = 257111729105379
BaseRepresentation
bin111011100110111110…
…0111010111101100000
3110020102012011210120101
41313031330322331200
54044130343213013
6134450124352144
712151122346660
oct1671574727540
9406365153511
10128009351008
114a319a3a080
12209860a5654
13c0c0652816
1462a4d661a0
1534e31eb8dd
hex1dcdf3af60

128009351008 has 192 divisors, whose sum is σ = 344162649600. Its totient is φ = 45320970240.

The previous prime is 128009350967. The next prime is 128009351023. The reversal of 128009351008 is 800153900821.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1162063 + ... + 1267441.

It is an arithmetic number, because the mean of its divisors is an integer number (1792513800).

Almost surely, 2128009351008 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 128009351008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172081324800).

128009351008 is an abundant number, since it is smaller than the sum of its proper divisors (216153298592).

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

128009351008 is a wasteful number, since it uses less digits than its factorization.

128009351008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105453 (or 105445 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 37.

The spelling of 128009351008 in words is "one hundred twenty-eight billion, nine million, three hundred fifty-one thousand, eight".