Search a number
-
+
1166486349024 = 25333148718941
BaseRepresentation
bin10000111110011000000…
…000010010010011100000
311010111220102212020121000
4100332120000102103200
5123102431001132044
62251513150432000
7150163422240543
oct20763000222340
94114812766530
101166486349024
1140a782152087
1216a0a5b02600
1385ccb2b69b9
144065b5aa85a
15205228a9d69
hex10f980124e0

1166486349024 has 192 divisors, whose sum is σ = 3513115791360. Its totient is φ = 376166592000.

The previous prime is 1166486348977. The next prime is 1166486349043. The reversal of 1166486349024 is 4209436846611.

1166486349024 is a `hidden beast` number, since 1 + 16 + 64 + 8 + 63 + 490 + 24 = 666.

It is a super-2 number, since 2×11664863490242 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130460394 + ... + 130469334.

It is an arithmetic number, because the mean of its divisors is an integer number (18297478080).

Almost surely, 21166486349024 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 1166486349024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1756557895680).

1166486349024 is an abundant number, since it is smaller than the sum of its proper divisors (2346629442336).

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

1166486349024 is a wasteful number, since it uses less digits than its factorization.

1166486349024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13862 (or 13848 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 1166486349024 in words is "one trillion, one hundred sixty-six billion, four hundred eighty-six million, three hundred forty-nine thousand, twenty-four".