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9997182989080 = 2357232372337829
BaseRepresentation
bin1001000101111010011010…
…0010100111001100011000
31022101201110212112021022121
42101132212202213030120
52302243212321122310
633132350434431024
72051162341216420
oct221364642471430
938351425467277
109997182989080
113204866198021
121155630432474
13576965653561
14267c1ad5b480
151250b29980da
hex917a68a7318

9997182989080 has 384 divisors, whose sum is σ = 27721635177600. Its totient is φ = 3175872454656.

The previous prime is 9997182989033. The next prime is 9997182989111. The reversal of 9997182989080 is 809892817999.

9997182989080 = T1 + T2 + ... + T39144.

9997182989080 is a nontrivial binomial coefficient, being equal to C(39146, 3).

It is a congruent number.

It is an unprimeable number.

It is the 39144-th tetrahedral number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1276938606 + ... + 1276946434.

It is an arithmetic number, because the mean of its divisors is an integer number (72191758275).

Almost surely, 29997182989080 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 9997182989080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13860817588800).

9997182989080 is an abundant number, since it is smaller than the sum of its proper divisors (17724452188520).

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

9997182989080 is a wasteful number, since it uses less digits than its factorization.

9997182989080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8163 (or 8136 counting only the distinct ones).

The product of its (nonzero) digits is 423263232, while the sum is 79.

The spelling of 9997182989080 in words is "nine trillion, nine hundred ninety-seven billion, one hundred eighty-two million, nine hundred eighty-nine thousand, eighty".