Search a number
-
+
159017480064 = 27321911536301
BaseRepresentation
bin1001010000011000101…
…1100010111110000000
3120012110012102222000200
42110012023202332000
510101131433330224
6201015052245200
714326413164412
oct2240613427600
9505405388020
10159017480064
1161491249413
122699a770800
1311cc283cb91
1479a72369b2
15420a5b05c9
hex25062e2f80

159017480064 has 192 divisors, whose sum is σ = 482167280400. Its totient is φ = 50164531200.

The previous prime is 159017480053. The next prime is 159017480071. The reversal of 159017480064 is 460084710951.

159017480064 is a `hidden beast` number, since 1 + 590 + 17 + 48 + 0 + 0 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25233714 + ... + 25240014.

Almost surely, 2159017480064 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 159017480064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241083640200).

159017480064 is an abundant number, since it is smaller than the sum of its proper divisors (323149800336).

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

159017480064 is a wasteful number, since it uses less digits than its factorization.

159017480064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7493 (or 7478 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 159017480064 in words is "one hundred fifty-nine billion, seventeen million, four hundred eighty thousand, sixty-four".