Search a number
-
+
1164989491200 = 2113252171271171
BaseRepresentation
bin10000111100111110110…
…010001110100000000000
311010101001010020222200100
4100330332302032200000
5123041344302204300
62251104435522400
7150111345200553
oct20747662164000
94111033228610
101164989491200
1140a0842186a7
12169948759400
1385b20154a02
144055888469a
1520486281700
hex10f3ec8e800

1164989491200 has 864 divisors, whose sum is σ = 4456244782080. Its totient is φ = 289839513600.

The previous prime is 1164989491097. The next prime is 1164989491243. The reversal of 1164989491200 is 21949894611.

1164989491200 is a `hidden beast` number, since 1 + 1 + 64 + 98 + 9 + 491 + 2 + 0 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 994866615 + ... + 994867785.

It is an arithmetic number, because the mean of its divisors is an integer number (5157690720).

Almost surely, 21164989491200 is an apocalyptic number.

1164989491200 is a gapful number since it is divisible by the number (10) 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 1164989491200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2228122391040).

1164989491200 is an abundant number, since it is smaller than the sum of its proper divisors (3291255290880).

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

1164989491200 is a wasteful number, since it uses less digits than its factorization.

1164989491200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 1164989491200 in words is "one trillion, one hundred sixty-four billion, nine hundred eighty-nine million, four hundred ninety-one thousand, two hundred".