Search a number
-
+
6730270348032 = 283271124198231
BaseRepresentation
bin110000111110000001101…
…0111111001001100000000
3212211102000010000221210100
41201330003113321030000
51340232043202114112
622151502111002400
71263150242024220
oct141740327711400
925742003027710
106730270348032
112165323176600
12908455b09400
1339a87abaa17a
14193a653d4080
15ba10a76c2dc
hex61f035f9300

6730270348032 has 648 divisors, whose sum is σ = 24437711450880. Its totient is φ = 1743738163200.

The previous prime is 6730270348019. The next prime is 6730270348051. The reversal of 6730270348032 is 2308430720376.

6730270348032 is a `hidden beast` number, since 6 + 7 + 3 + 0 + 270 + 348 + 0 + 32 = 666.

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 71 ways as a sum of consecutive naturals, for example, 817669357 + ... + 817677587.

Almost surely, 26730270348032 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 6730270348032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12218855725440).

6730270348032 is an abundant number, since it is smaller than the sum of its proper divisors (17707441102848).

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

6730270348032 is a wasteful number, since it uses less digits than its factorization.

6730270348032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8701 (or 8673 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 6730270348032 in words is "six trillion, seven hundred thirty billion, two hundred seventy million, three hundred forty-eight thousand, thirty-two".