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98507413368 = 233271323297293
BaseRepresentation
bin101101110111101111…
…1111101011101111000
3100102021011002002022100
41123233133331131320
53103220344211433
6113130443423400
710055051124660
oct1335737753570
9312234062270
1098507413368
113885a959731
1217111b24b60
13939b5148a0
144aa6b2b1a0
1528681a6b13
hex16ef7fd778

98507413368 has 576 divisors, whose sum is σ = 347977506240. Its totient is φ = 24510283776.

The previous prime is 98507413363. The next prime is 98507413379. The reversal of 98507413368 is 86331470589.

98507413368 is a `hidden beast` number, since 9 + 8 + 507 + 41 + 33 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98507413363) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 336202630 + ... + 336202922.

It is an arithmetic number, because the mean of its divisors is an integer number (604127615).

Almost surely, 298507413368 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 98507413368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173988753120).

98507413368 is an abundant number, since it is smaller than the sum of its proper divisors (249470092872).

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

98507413368 is a wasteful number, since it uses less digits than its factorization.

98507413368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 98507413368 in words is "ninety-eight billion, five hundred seven million, four hundred thirteen thousand, three hundred sixty-eight".