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2163725928 = 23327213219191
BaseRepresentation
bin1000000011110111…
…1101011001101000
312120210102122222100
42000331331121220
513412403212203
6554412053400
7104422236600
oct20075753150
95523378870
102163725928
11a10404351
12504764260
13286370a00
14167517c00
15c9e53ea3
hex80f7d668

2163725928 has 432 divisors, whose sum is σ = 7810732800. Its totient is φ = 537788160.

The previous prime is 2163725911. The next prime is 2163725933. The reversal of 2163725928 is 8295273612.

2163725928 is a `hidden beast` number, since 2 + 1 + 637 + 2 + 5 + 9 + 2 + 8 = 666.

2163725928 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×21637259282 = 9363419782998922368, which contains 22 as substring.

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, 11328313 + ... + 11328503.

It is an arithmetic number, because the mean of its divisors is an integer number (18080400).

Almost surely, 22163725928 is an apocalyptic number.

2163725928 is a gapful number since it is divisible by the number (28) 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 2163725928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3905366400).

2163725928 is an abundant number, since it is smaller than the sum of its proper divisors (5647006872).

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

2163725928 is a wasteful number, since it uses less digits than its factorization.

2163725928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 235 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 2163725928 is about 46515.8674862675. The cubic root of 2163725928 is about 1293.4036526639.

The spelling of 2163725928 in words is "two billion, one hundred sixty-three million, seven hundred twenty-five thousand, nine hundred twenty-eight".