Search a number
-
+
675321552360 = 23325713711991459
BaseRepresentation
bin10011101001111000100…
…11010001110111101000
32101120010022122100211200
421310330103101313220
542031024304133420
61234123300324200
766535045324410
oct11647423216750
92346108570750
10675321552360
11240447457724
12aaa6b9a3660
134b8b47393c0
1424985941640
151287774eb90
hex9d3c4d1de8

675321552360 has 768 divisors, whose sum is σ = 2754984960000. Its totient is φ = 139676866560.

The previous prime is 675321552359. The next prime is 675321552397. The reversal of 675321552360 is 63255123576.

675321552360 is a `hidden beast` number, since 6 + 7 + 5 + 32 + 1 + 552 + 3 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 462865311 + ... + 462866769.

It is an arithmetic number, because the mean of its divisors is an integer number (3587220000).

Almost surely, 2675321552360 is an apocalyptic number.

675321552360 is a gapful number since it is divisible by the number (60) 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 675321552360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377492480000).

675321552360 is an abundant number, since it is smaller than the sum of its proper divisors (2079663407640).

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

675321552360 is a wasteful number, since it uses less digits than its factorization.

675321552360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1766 (or 1759 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 45.

The spelling of 675321552360 in words is "six hundred seventy-five billion, three hundred twenty-one million, five hundred fifty-two thousand, three hundred sixty".