Search a number
-
+
89348319475776 = 263219410912
BaseRepresentation
bin10100010100001100000110…
…110101111111100001000000
3102201100121122000012120111100
4110110030012311333201000
543202340324241211101
6514010015030214400
724551126435435424
oct2424140665774100
9381317560176440
1089348319475776
1126518456046919
12a0303774b4400
133ab16833a289a
14180c6a5c56b84
15a4e24c860e86
hex514306d7f840

89348319475776 has 315 divisors, whose sum is σ = 270576547528703. Its totient is φ = 28189396949760.

The previous prime is 89348319475769. The next prime is 89348319475777. The reversal of 89348319475776 is 67757491384398.

The square root of 89348319475776 is 9452424.

It is a perfect power (a square), and thus also a powerful number.

89348319475776 is a `hidden beast` number, since 8 + 9 + 3 + 4 + 8 + 31 + 9 + 4 + 7 + 577 + 6 = 666.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 89348319475695 and 89348319475704.

It is not an unprimeable number, because it can be changed into a prime (89348319475777) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 81895800991 + ... + 81895802081.

Almost surely, 289348319475776 is an apocalyptic number.

89348319475776 is the 9452424-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89348319475776

89348319475776 is an abundant number, since it is smaller than the sum of its proper divisors (181228228052927).

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

89348319475776 is an frugal number, since it uses more digits than its factorization.

89348319475776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2276 (or 1115 counting only the distinct ones).

The product of its digits is 7681443840, while the sum is 81.

The spelling of 89348319475776 in words is "eighty-nine trillion, three hundred forty-eight billion, three hundred nineteen million, four hundred seventy-five thousand, seven hundred seventy-six".