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98240958720 = 2832561139801
BaseRepresentation
bin101101101111110011…
…1100001000100000000
3100101120120200210020200
41123133213201010000
53102144141134340
6113044204405200
710045334241162
oct1333747410400
9311516623220
1098240958720
1138733507383
1217058846800
139358260708
144a7d5aa932
15284eac2330
hex16df9e1100

98240958720 has 216 divisors, whose sum is σ = 345478143192. Its totient is φ = 25767936000.

The previous prime is 98240958709. The next prime is 98240958769. The reversal of 98240958720 is 2785904289.

It can be written as a sum of positive squares in 4 ways, for example, as 1882865664 + 96358093056 = 43392^2 + 310416^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 632820 + ... + 772620.

Almost surely, 298240958720 is an apocalyptic number.

98240958720 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 98240958720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172739071596).

98240958720 is an abundant number, since it is smaller than the sum of its proper divisors (247237184472).

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

98240958720 is a wasteful number, since it uses less digits than its factorization.

98240958720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139889 (or 139872 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 98240958720 in words is "ninety-eight billion, two hundred forty million, nine hundred fifty-eight thousand, seven hundred twenty".