Search a number
-
+
84452225448 = 23353279101157
BaseRepresentation
bin100111010100110111…
…1101011000110101000
322001222121202120010210
41032221233223012220
52340424232203243
6102444040141120
76046543033503
oct1165157530650
9261877676123
1084452225448
11328a8096a48
121444aa677a0
137c6b652146
1441321aa13a
1522e42c1933
hex13a9beb1a8

84452225448 has 192 divisors, whose sum is σ = 221472518400. Its totient is φ = 26828006400.

The previous prime is 84452225443. The next prime is 84452225453.

84452225448 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (84452225443) and next prime (84452225453).

It is a junction number, because it is equal to n+sod(n) for n = 84452225397 and 84452225406.

It is not an unprimeable number, because it can be changed into a prime (84452225443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 537912186 + ... + 537912342.

It is an arithmetic number, because the mean of its divisors is an integer number (1153502700).

Almost surely, 284452225448 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 84452225448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110736259200).

84452225448 is an abundant number, since it is smaller than the sum of its proper divisors (137020292952).

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

84452225448 is a wasteful number, since it uses less digits than its factorization.

84452225448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 395 counting only the distinct ones).

The product of its digits is 3276800, while the sum is 48.

The spelling of 84452225448 in words is "eighty-four billion, four hundred fifty-two million, two hundred twenty-five thousand, four hundred forty-eight".