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89614424196 = 223411273173181
BaseRepresentation
bin101001101110101101…
…1111001100010000100
322120022101100102120000
41103131123321202010
52432012243033241
6105100204041300
76321505015563
oct1233533714204
9276271312500
1089614424196
1135007008300
121544b833230
1385b1c9120b
1444a1a0dbda
1524e75b6eb6
hex14dd6f9884

89614424196 has 360 divisors, whose sum is σ = 263989958232. Its totient is φ = 26481945600.

The previous prime is 89614424191. The next prime is 89614424201. The reversal of 89614424196 is 69142441698.

89614424196 is a `hidden beast` number, since 8 + 9 + 6 + 1 + 442 + 4 + 196 = 666.

It is an interprime number because it is at equal distance from previous prime (89614424191) and next prime (89614424201).

It can be written as a sum of positive squares in 4 ways, for example, as 9221760900 + 80392663296 = 96030^2 + 283536^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89614424191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 495107226 + ... + 495107406.

Almost surely, 289614424196 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 89614424196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131994979116).

89614424196 is an abundant number, since it is smaller than the sum of its proper divisors (174375534036).

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

89614424196 is a wasteful number, since it uses less digits than its factorization.

89614424196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 443 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 89614424196 in words is "eighty-nine billion, six hundred fourteen million, four hundred twenty-four thousand, one hundred ninety-six".