Search a number
-
+
159545328768000 = 2103253731163617
BaseRepresentation
bin100100010001101100001010…
…101001011001010000000000
3202220220101101021120022222200
4210101230022221121100000
5131402442313131034000
61323154040122433200
745414524656444020
oct4421541251312000
9686811337508880
10159545328768000
114692188082a11a
1215a88b53962800
136b040a1918886
142b5806c4d5a80
15136a217e70500
hex911b0aa59400

159545328768000 has 1056 divisors, whose sum is σ = 659189659534848. Its totient is φ = 36349673472000.

The previous prime is 159545328767999. The next prime is 159545328768019. The reversal of 159545328768000 is 867823545951.

159545328768000 is a `hidden beast` number, since 1 + 5 + 9 + 545 + 3 + 2 + 8 + 7 + 6 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2507872192 + ... + 2507935808.

It is a 1-persistent number, because it is pandigital, but 2⋅159545328768000 = 319090657536000 is not.

Almost surely, 2159545328768000 is an apocalyptic number.

159545328768000 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 159545328768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329594829767424).

159545328768000 is an abundant number, since it is smaller than the sum of its proper divisors (499644330766848).

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

159545328768000 is a wasteful number, since it uses less digits than its factorization.

159545328768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63976 (or 63945 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 63.

The spelling of 159545328768000 in words is "one hundred fifty-nine trillion, five hundred forty-five billion, three hundred twenty-eight million, seven hundred sixty-eight thousand".