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2173091328 = 293461859
BaseRepresentation
bin1000000110000110…
…1011111000000000
312121110001110220000
42001201223320000
513422302410303
6555344520000
7104564654142
oct20141537000
95543043800
102173091328
11a15720751
12507920000
1328829c775
14168874c92
15caba3da3
hex8186be00

2173091328 has 200 divisors, whose sum is σ = 6600109560. Its totient is φ = 711659520.

The previous prime is 2173091311. The next prime is 2173091377. The reversal of 2173091328 is 8231903712.

2173091328 is a `hidden beast` number, since 21 + 7 + 309 + 1 + 328 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2173091292 and 2173091301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2529363 + ... + 2530221.

Almost surely, 22173091328 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 2173091328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3300054780).

2173091328 is an abundant number, since it is smaller than the sum of its proper divisors (4427018232).

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

2173091328 is an frugal number, since it uses more digits than its factorization.

2173091328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 2173091328 is about 46616.4276623595. The cubic root of 2173091328 is about 1295.2670753004.

The spelling of 2173091328 in words is "two billion, one hundred seventy-three million, ninety-one thousand, three hundred twenty-eight".