Search a number
-
+
9999585081312 = 25317191033130913
BaseRepresentation
bin1001000110000011010110…
…1101110111011111100000
31022101221200021111012101120
42101200311231313133200
52302313122240100222
633133425043532240
72051306016525651
oct221406555673740
938357607435346
109999585081312
1132058890a9512
121155ba098a080
13576c591c25c8
14267da7da3528
151251a37d415c
hex91835b777e0

9999585081312 has 192 divisors, whose sum is σ = 29539797880320. Its totient is φ = 2943157469184.

The previous prime is 9999585081289. The next prime is 9999585081313. The reversal of 9999585081312 is 2131805859999.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9999585081313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1628368 + ... + 4759280.

It is an arithmetic number, because the mean of its divisors is an integer number (153853113960).

Almost surely, 29999585081312 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 9999585081312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14769898940160).

9999585081312 is an abundant number, since it is smaller than the sum of its proper divisors (19540212799008).

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

9999585081312 is a wasteful number, since it uses less digits than its factorization.

9999585081312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3131065 (or 3131057 counting only the distinct ones).

The product of its (nonzero) digits is 62985600, while the sum is 69.

The spelling of 9999585081312 in words is "nine trillion, nine hundred ninety-nine billion, five hundred eighty-five million, eighty-one thousand, three hundred twelve".