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2104319160 = 23325171918097
BaseRepresentation
bin111110101101101…
…0101110010111000
312102122122111012200
41331123111302320
513302201203120
6544450510200
7103101263166
oct17533256270
95378574180
102104319160
1198a919149
124a8895360
13276c70a88
1415d692236
15c4b1be90
hex7d6d5cb8

2104319160 has 192 divisors, whose sum is σ = 7622877600. Its totient is φ = 500318208.

The previous prime is 2104319159. The next prime is 2104319171. The reversal of 2104319160 is 619134012.

2104319160 is a `hidden beast` number, since 210 + 431 + 9 + 16 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107232 + ... + 125328.

Almost surely, 22104319160 is an apocalyptic number.

2104319160 is a gapful number since it is divisible by the number (20) 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 2104319160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3811438800).

2104319160 is an abundant number, since it is smaller than the sum of its proper divisors (5518558440).

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

2104319160 is a wasteful number, since it uses less digits than its factorization.

2104319160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18150 (or 18143 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 2104319160 is about 45872.8586421208. The cubic root of 2104319160 is about 1281.4565044584.

The spelling of 2104319160 in words is "two billion, one hundred four million, three hundred nineteen thousand, one hundred sixty".