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6920128512 = 211331131367
BaseRepresentation
bin1100111000111100…
…01100100000000000
3122212021102221201000
412130132030200000
5103133023103022
63102402212000
7333326056533
oct63436144000
918767387630
106920128512
112a31260a80
121411654000
138638bc1cb
144990c8a1a
152a77dd6ac
hex19c78c800

6920128512 has 384 divisors, whose sum is σ = 23146905600. Its totient is φ = 2023833600.

The previous prime is 6920128499. The next prime is 6920128547. The reversal of 6920128512 is 2158210296.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18855753 + ... + 18856119.

It is an arithmetic number, because the mean of its divisors is an integer number (60278400).

Almost surely, 26920128512 is an apocalyptic number.

6920128512 is a gapful number since it is divisible by the number (62) 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 6920128512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11573452800).

6920128512 is an abundant number, since it is smaller than the sum of its proper divisors (16226777088).

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

6920128512 is a wasteful number, since it uses less digits than its factorization.

6920128512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 6920128512 is about 83187.3098014355. The cubic root of 6920128512 is about 1905.6276832961.

The spelling of 6920128512 in words is "six billion, nine hundred twenty million, one hundred twenty-eight thousand, five hundred twelve".