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128839680000 = 2153354233
BaseRepresentation
bin111011111111101110…
…0011000000000000000
3110022120001120212211000
41313333130120000000
54102330424230000
6135104345252000
712210524132133
oct1677734300000
9408501525730
10128839680000
114a705705589
1220b78194000
13c1c3694355
14634334821a
153541065000
hex1dff718000

128839680000 has 640 divisors, whose sum is σ = 479071335600. Its totient is φ = 34209792000.

The previous prime is 128839679977. The next prime is 128839680031. The reversal of 128839680000 is 86938821.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 39 ways as a sum of consecutive naturals, for example, 552959884 + ... + 552960116.

Almost surely, 2128839680000 is an apocalyptic number.

128839680000 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 128839680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239535667800).

128839680000 is an abundant number, since it is smaller than the sum of its proper divisors (350231655600).

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

128839680000 is an frugal number, since it uses more digits than its factorization.

128839680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 128839680000 in words is "one hundred twenty-eight billion, eight hundred thirty-nine million, six hundred eighty thousand".