Search a number
-
+
89322428448 = 253211216012
BaseRepresentation
bin101001100110000001…
…0000001100000100000
322112120000220111200200
41103030002001200200
52430413020202243
6105011213345200
76311331054201
oct1231402014040
9275500814620
1089322428448
1134977200600
1215389a98200
138566636776
144474d215a8
1524cbb39ad3
hex14cc081820

89322428448 has 162 divisors, whose sum is σ = 279376296381. Its totient is φ = 27050496000.

The previous prime is 89322428441. The next prime is 89322428477. The reversal of 89322428448 is 84482422398.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 49118970384 + 40203458064 = 221628^2 + 200508^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=211332.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 89322428394 and 89322428403.

It is not an unprimeable number, because it can be changed into a prime (89322428441) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 55790848 + ... + 55792448.

Almost surely, 289322428448 is an apocalyptic number.

89322428448 is a gapful number since it is divisible by the number (88) 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 89322428448

89322428448 is an abundant number, since it is smaller than the sum of its proper divisors (190053867933).

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

89322428448 is a wasteful number, since it uses less digits than its factorization.

89322428448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3240 (or 1617 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 54.

The spelling of 89322428448 in words is "eighty-nine billion, three hundred twenty-two million, four hundred twenty-eight thousand, four hundred forty-eight".