Search a number
-
+
666847107360 = 253257229325889
BaseRepresentation
bin10011011010000110010…
…11110101100100100000
32100202020201110221202100
421231003023311210200
541411200324413420
61230202331450400
766115043613600
oct11550313654440
92322221427670
10666847107360
11237898897775
12a92a58b6a00
134ab63b1abc5
14243c0254c00
151252d788190
hex9b432f5920

666847107360 has 432 divisors, whose sum is σ = 2738434116600. Its totient is φ = 147165806592.

The previous prime is 666847107349. The next prime is 666847107371. The reversal of 666847107360 is 63701748666.

It is an interprime number because it is at equal distance from previous prime (666847107349) and next prime (666847107371).

It can be written as a sum of positive squares in 4 ways, for example, as 313255134864 + 353591972496 = 559692^2 + 594636^2 .

It is a junction number, because it is equal to n+sod(n) for n = 666847107297 and 666847107306.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1883296 + ... + 2209184.

Almost surely, 2666847107360 is an apocalyptic number.

666847107360 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 666847107360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1369217058300).

666847107360 is an abundant number, since it is smaller than the sum of its proper divisors (2071587009240).

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

666847107360 is a wasteful number, since it uses less digits than its factorization.

666847107360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325953 (or 325935 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 666847107360 in words is "six hundred sixty-six billion, eight hundred forty-seven million, one hundred seven thousand, three hundred sixty".