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6923880128 = 261138325679
BaseRepresentation
bin1100111001011001…
…00000011011000000
3122212112111112221202
412130230200123000
5103140003131003
63103014440332
7333403003304
oct63454403300
918775445852
106923880128
112a33393690
1214129630a8
138646039b9
144997c3d04
152a7cd0088
hex19cb206c0

6923880128 has 56 divisors (see below), whose sum is σ = 15028346880. Its totient is φ = 3138878720.

The previous prime is 6923880109. The next prime is 6923880133. The reversal of 6923880128 is 8210883296.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 256793 + ... + 282471.

Almost surely, 26923880128 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 6923880128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7514173440).

6923880128 is an abundant number, since it is smaller than the sum of its proper divisors (8104466752).

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

6923880128 is a wasteful number, since it uses less digits than its factorization.

6923880128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26085 (or 26075 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 47.

The square root of 6923880128 is about 83209.8559546884. The cubic root of 6923880128 is about 1905.9719876806.

The spelling of 6923880128 in words is "six billion, nine hundred twenty-three million, eight hundred eighty thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 383 704 766 1532 3064 4213 6128 8426 12256 16852 24512 25679 33704 51358 67408 102716 134816 205432 269632 282469 410864 564938 821728 1129876 1643456 2259752 4519504 9039008 9835057 18078016 19670114 39340228 78680456 108185627 157360912 216371254 314721824 432742508 629443648 865485016 1730970032 3461940064 6923880128