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99660083760 = 243252330719603
BaseRepresentation
bin101110011010000110…
…1000011001000110000
3100112020111000210211100
41130310031003020300
53113100440140020
6113441101244400
710125445510026
oct1346415031060
9315214023740
1099660083760
11392a1578a96
1217393b63700
139523277283
144b75c5a716
1528d4493a90
hex1734343230

99660083760 has 240 divisors, whose sum is σ = 350399073024. Its totient is φ = 25336447488.

The previous prime is 99660083753. The next prime is 99660083797. The reversal of 99660083760 is 6738006699.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 99660083697 and 99660083706.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5074119 + ... + 5093721.

Almost surely, 299660083760 is an apocalyptic number.

99660083760 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 99660083760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175199536512).

99660083760 is an abundant number, since it is smaller than the sum of its proper divisors (250738989264).

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

99660083760 is a wasteful number, since it uses less digits than its factorization.

99660083760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19952 (or 19943 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 99660083760 in words is "ninety-nine billion, six hundred sixty million, eighty-three thousand, seven hundred sixty".