Search a number
-
+
9164317490880 = 26351923167130807
BaseRepresentation
bin1000010101011011101111…
…1000110111111011000000
31012110002201001011020101220
42011112323320313323000
52200122010234202010
631254010200355040
71634046221253366
oct205267370677300
935402631136356
109164317490880
112a13624346072
121040133475a80
13516264761136
142397abb97636
1510d5b9205970
hex855bbe37ec0

9164317490880 has 448 divisors, whose sum is σ = 32151392501760. Its totient is φ = 2201257783296.

The previous prime is 9164317490749. The next prime is 9164317490917. The reversal of 9164317490880 is 880947134619.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69994437 + ... + 70125243.

It is an arithmetic number, because the mean of its divisors is an integer number (71766501120).

Almost surely, 29164317490880 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 9164317490880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16075696250880).

9164317490880 is an abundant number, since it is smaller than the sum of its proper divisors (22987075010880).

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

9164317490880 is a wasteful number, since it uses less digits than its factorization.

9164317490880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131036 (or 131026 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 60.

The spelling of 9164317490880 in words is "nine trillion, one hundred sixty-four billion, three hundred seventeen million, four hundred ninety thousand, eight hundred eighty".