Search a number
-
+
78331298760 = 23325111312711981
BaseRepresentation
bin100100011110011101…
…0001100001111001000
321111012001011021020100
41020330322030033020
52240410303030020
655552423325400
75442060024261
oct1107472141710
9244161137210
1078331298760
1130246a81150
1213220bb0860
1375044c6730
143b112bd968
152086c4da90
hex123ce8c3c8

78331298760 has 384 divisors, whose sum is σ = 301463285760. Its totient is φ = 17389209600.

The previous prime is 78331298659. The next prime is 78331298779. The reversal of 78331298760 is 6789213387.

It is a super-2 number, since 2×783312987602 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 78331298697 and 78331298706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6531970 + ... + 6543950.

It is an arithmetic number, because the mean of its divisors is an integer number (785060640).

Almost surely, 278331298760 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 78331298760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150731642880).

78331298760 is an abundant number, since it is smaller than the sum of its proper divisors (223131987000).

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

78331298760 is a wasteful number, since it uses less digits than its factorization.

78331298760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12149 (or 12142 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 78331298760 in words is "seventy-eight billion, three hundred thirty-one million, two hundred ninety-eight thousand, seven hundred sixty".