Search a number
-
+
3026319728256 = 273211376796337
BaseRepresentation
bin101100000010011110101…
…101100101111010000000
3101201022110102111000002100
4230002132231211322000
5344040400322301011
610234134434350400
7431434011153516
oct54023655457200
911638412430070
103026319728256
11a67500655110
1240a63042b400
1318c4c45babc6
14a66906584b6
1553ac5201d56
hex2c09eb65e80

3026319728256 has 384 divisors, whose sum is σ = 9902729453760. Its totient is φ = 878954250240.

The previous prime is 3026319728227. The next prime is 3026319728269. The reversal of 3026319728256 is 6528279136203.

3026319728256 is a `hidden beast` number, since 3 + 0 + 2 + 6 + 319 + 72 + 8 + 256 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×30263197282562 (a number of 26 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 31365720 + ... + 31462056.

Almost surely, 23026319728256 is an apocalyptic number.

3026319728256 is a gapful number since it is divisible by the number (36) 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 3026319728256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4951364726880).

3026319728256 is an abundant number, since it is smaller than the sum of its proper divisors (6876409725504).

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

3026319728256 is a wasteful number, since it uses less digits than its factorization.

3026319728256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96472 (or 96457 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 3026319728256 in words is "three trillion, twenty-six billion, three hundred nineteen million, seven hundred twenty-eight thousand, two hundred fifty-six".