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9897325148160 = 21135512731319
BaseRepresentation
bin1001000000000110011010…
…0011001011100000000000
31022001011201121101100200000
42100001212203023200000
52244124210214220120
633014433550400000
72041025641453032
oct220014643134000
938034647340600
109897325148160
11317648302916a
12113a202200000
1356a410428b18
14263066b43c52
151226bae8e990
hex900668cb800

9897325148160 has 576 divisors, whose sum is σ = 35854053580800. Its totient is φ = 2618421313536.

The previous prime is 9897325148159. The next prime is 9897325148203. The reversal of 9897325148160 is 618415237989.

9897325148160 is a `hidden beast` number, since 9 + 8 + 9 + 7 + 32 + 514 + 81 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 316000981 + ... + 316032299.

It is an arithmetic number, because the mean of its divisors is an integer number (62246620800).

It is a 1-persistent number, because it is pandigital, but 2⋅9897325148160 = 19794650296320 is not.

Almost surely, 29897325148160 is an apocalyptic number.

9897325148160 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 9897325148160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17927026790400).

9897325148160 is an abundant number, since it is smaller than the sum of its proper divisors (25956728432640).

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

9897325148160 is a wasteful number, since it uses less digits than its factorization.

9897325148160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31488 (or 31456 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 9897325148160 in words is "nine trillion, eight hundred ninety-seven billion, three hundred twenty-five million, one hundred forty-eight thousand, one hundred sixty".