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98131556160 = 26335111760737
BaseRepresentation
bin101101101100100011…
…0001011011101000000
3100101021221211120011000
41123121012023131000
53101433134244120
6113025255452000
710042535315241
oct1333106133500
9311257746130
1098131556160
1138687783640
1217028087000
13933b6a7281
144a6cc4ccc8
1528451b1990
hex16d918b740

98131556160 has 448 divisors, whose sum is σ = 399879555840. Its totient is φ = 22389719040.

The previous prime is 98131556153. The next prime is 98131556161. The reversal of 98131556160 is 6165513189.

98131556160 is a `hidden beast` number, since 9 + 8 + 1 + 31 + 556 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98131556161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1585312 + ... + 1646048.

Almost surely, 298131556160 is an apocalyptic number.

98131556160 is a gapful number since it is divisible by the number (90) 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 98131556160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199939777920).

98131556160 is an abundant number, since it is smaller than the sum of its proper divisors (301747999680).

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

98131556160 is a wasteful number, since it uses less digits than its factorization.

98131556160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60791 (or 60775 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 98131556160 in words is "ninety-eight billion, one hundred thirty-one million, five hundred fifty-six thousand, one hundred sixty".