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98482228416 = 263211131319127
BaseRepresentation
bin101101110110111111…
…1111000110011000000
3100102012101200120001100
41123231333320303000
53103142422302131
6113124143534400
710054324062315
oct1335577706300
9312171616040
1098482228416
1138847717920
12171055ba400
139396237450
144aa3652d0c
152865d7e7e6
hex16edff8cc0

98482228416 has 336 divisors, whose sum is σ = 334199593728. Its totient is φ = 27334195200.

The previous prime is 98482228399. The next prime is 98482228417. The reversal of 98482228416 is 61482228489.

It is a super-3 number, since 3×984822284163 (a number of 34 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (98482228417) 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, 10785645 + ... + 10794771.

It is an arithmetic number, because the mean of its divisors is an integer number (994641648).

Almost surely, 298482228416 is an apocalyptic number.

98482228416 is a gapful number since it is divisible by the number (96) 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 98482228416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167099796864).

98482228416 is an abundant number, since it is smaller than the sum of its proper divisors (235717365312).

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

98482228416 is a wasteful number, since it uses less digits than its factorization.

98482228416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9300 (or 9287 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 54.

The spelling of 98482228416 in words is "ninety-eight billion, four hundred eighty-two million, two hundred twenty-eight thousand, four hundred sixteen".