Search a number
-
+
1166549069664 = 25321119238111039
BaseRepresentation
bin10000111110011011101…
…111100010111101100000
311010112001210212210010200
4100332123233202331200
5123103043030212124
62251523311025200
7150165113325546
oct20763357427540
94115053783120
101166549069664
1140a8045a1020
1216a102b0b200
138600b2a70c4
1440665a55d96
1520528148bc9
hex10f9bbe2f60

1166549069664 has 576 divisors, whose sum is σ = 3983783731200. Its totient is φ = 319630924800.

The previous prime is 1166549069617. The next prime is 1166549069753. The reversal of 1166549069664 is 4669609456611.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1122760857 + ... + 1122761895.

It is an arithmetic number, because the mean of its divisors is an integer number (6916291200).

Almost surely, 21166549069664 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 1166549069664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1991891865600).

1166549069664 is an abundant number, since it is smaller than the sum of its proper divisors (2817234661536).

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

1166549069664 is a wasteful number, since it uses less digits than its factorization.

1166549069664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1919 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 1166549069664 in words is "one trillion, one hundred sixty-six billion, five hundred forty-nine million, sixty-nine thousand, six hundred sixty-four".