Search a number
-
+
80334679360320 = 263257112197349479
BaseRepresentation
bin10010010001000001100000…
…000001101100001101000000
3101112102220211221010002100200
4102101001200001230031000
541012200410404012240
6442505124152445200
722630663146544530
oct2221014001541500
9345386757102320
1080334679360320
11236628231a6100
1290154956a9800
1335a96b263b378
1415ba30d7b94c0
15944a5193d930
hex49106006c340

80334679360320 has 2016 divisors, whose sum is σ = 350602027776000. Its totient is φ = 16526023557120.

The previous prime is 80334679360303. The next prime is 80334679360321. The reversal of 80334679360320 is 2306397643308.

80334679360320 is a `hidden beast` number, since 8 + 0 + 3 + 3 + 4 + 6 + 7 + 9 + 3 + 603 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80334679360321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 167713317841 + ... + 167713318319.

It is an arithmetic number, because the mean of its divisors is an integer number (173909736000).

Almost surely, 280334679360320 is an apocalyptic number.

80334679360320 is a gapful number since it is divisible by the number (80) 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 80334679360320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175301013888000).

80334679360320 is an abundant number, since it is smaller than the sum of its proper divisors (270267348415680).

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

80334679360320 is a wasteful number, since it uses less digits than its factorization.

80334679360320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 54.

The spelling of 80334679360320 in words is "eighty trillion, three hundred thirty-four billion, six hundred seventy-nine million, three hundred sixty thousand, three hundred twenty".