Search a number
-
+
1491110805184 = 2671113374167229
BaseRepresentation
bin10101101100101101001…
…000010011111011000000
312021112211002001020211221
4111230231020103323000
5143412243331231214
63101001251244424
7212505054501460
oct25545510237300
95245732036757
101491110805184
115254161a37a0
12200ba1ba9714
13aa7c38c1010
1452254c59ba0
1528bc1ca8e24
hex15b2d213ec0

1491110805184 has 896 divisors, whose sum is σ = 4260618270720. Its totient is φ = 499256524800.

The previous prime is 1491110805139. The next prime is 1491110805203. The reversal of 1491110805184 is 4815080111941.

It is a super-2 number, since 2×14911108051842 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1491110805184.

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 127 ways as a sum of consecutive naturals, for example, 6511400782 + ... + 6511401010.

It is an arithmetic number, because the mean of its divisors is an integer number (4755154320).

Almost surely, 21491110805184 is an apocalyptic number.

1491110805184 is a gapful number since it is divisible by the number (14) 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 1491110805184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2130309135360).

1491110805184 is an abundant number, since it is smaller than the sum of its proper divisors (2769507465536).

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

1491110805184 is a wasteful number, since it uses less digits than its factorization.

1491110805184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 43.

The spelling of 1491110805184 in words is "one trillion, four hundred ninety-one billion, one hundred ten million, eight hundred five thousand, one hundred eighty-four".