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98066200454244 = 22321121925321492
BaseRepresentation
bin10110010011000011010001…
…000010101110010001100100
3110212020001000010022012021100
4112103003101002232101210
5100323204034304013434
6544322553543120100
726441022603206031
oct2623032102562144
9425201003265240
1098066200454244
1129279707637500
12abb9a78143030
1342947abac07b9
141a306024c4388
15b50dd8576699
hex5930d10ae464

98066200454244 has 729 divisors, whose sum is σ = 295077649634859. Its totient is φ = 27436406849280.

The previous prime is 98066200454231. The next prime is 98066200454249. The reversal of 98066200454244 is 44245400266089.

The square root of 98066200454244 is 9902838.

It is a perfect power (a square), and thus also a powerful number.

98066200454244 is a `hidden beast` number, since 9 + 8 + 0 + 6 + 6 + 200 + 4 + 5 + 424 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4152425062500 + 93913775391744 = 2037750^2 + 9690912^2 .

It is a super-2 number, since 2×980662004542442 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (98066200454249) 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 242 ways as a sum of consecutive naturals, for example, 658162419082 + ... + 658162419230.

Almost surely, 298066200454244 is an apocalyptic number.

98066200454244 is the 9902838-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98066200454244

98066200454244 is an abundant number, since it is smaller than the sum of its proper divisors (197011449180615).

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

98066200454244 is a wasteful number, since it uses less digits than its factorization.

98066200454244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 98066200454244 in words is "ninety-eight trillion, sixty-six billion, two hundred million, four hundred fifty-four thousand, two hundred forty-four".