Search a number
-
+
98789289984 = 212357111289
BaseRepresentation
bin101110000000001001…
…1001111000000000000
3100102222210110220100000
41130000103033000000
53104310024234414
6113214433200000
710065043052460
oct1340023170000
9312883426300
1098789289984
1138994a84810
1217190400000
139414a38498
144ad2343ba0
152882cd5b09
hex17004cf000

98789289984 has 624 divisors, whose sum is σ = 369231932160. Its totient is φ = 25639649280.

The previous prime is 98789289979. The next prime is 98789289997. The reversal of 98789289984 is 48998298789.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (81).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76639612 + ... + 76640900.

It is an arithmetic number, because the mean of its divisors is an integer number (591717840).

Almost surely, 298789289984 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 98789289984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184615966080).

98789289984 is an abundant number, since it is smaller than the sum of its proper divisors (270442642176).

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

98789289984 is a wasteful number, since it uses less digits than its factorization.

98789289984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1312 counting only the distinct ones).

The product of its digits is 1504935936, while the sum is 81.

The spelling of 98789289984 in words is "ninety-eight billion, seven hundred eighty-nine million, two hundred eighty-nine thousand, nine hundred eighty-four".