Search a number
-
+
260322467328 = 2933711244561
BaseRepresentation
bin1111001001110001101…
…1011001111000000000
3220212221022122112021000
43302130123121320000
513231120022423303
6315331313532000
724544014314460
oct3623433317000
9825838575230
10260322467328
11a0447278790
1242551574000
131b718812621
14c857715ba0
156b89172da3
hex3c9c6d9e00

260322467328 has 320 divisors, whose sum is σ = 960717795840. Its totient is φ = 67615948800.

The previous prime is 260322467323. The next prime is 260322467399. The reversal of 260322467328 is 823764223062.

260322467328 is a `hidden beast` number, since 2 + 603 + 2 + 2 + 4 + 6 + 7 + 32 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260322467323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 942168 + ... + 1186728.

It is an arithmetic number, because the mean of its divisors is an integer number (3002243112).

Almost surely, 2260322467328 is an apocalyptic number.

260322467328 is a gapful number since it is divisible by the number (28) 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 260322467328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480358897920).

260322467328 is an abundant number, since it is smaller than the sum of its proper divisors (700395328512).

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

260322467328 is a wasteful number, since it uses less digits than its factorization.

260322467328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244606 (or 244584 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 260322467328 in words is "two hundred sixty billion, three hundred twenty-two million, four hundred sixty-seven thousand, three hundred twenty-eight".