Search a number
-
+
9000007000008 = 2332351159506717
BaseRepresentation
bin1000001011110111101000…
…1110000101111111001000
31011212101120221222110112220
42002331322032011333020
52134424003243000013
631050313544334040
71616141364161403
oct202757216057710
934771527873486
109000007000008
11295a97735a362
121014318174320
1350390a470bcb
142318619c8d3a
1510919e110b23
hex82f7a385fc8

9000007000008 has 32 divisors (see below), whose sum is σ = 22509588044160. Its totient is φ = 2998726260800.

The previous prime is 9000006999983. The next prime is 9000007000009. The reversal of 9000007000008 is 8000007000009.

It is a super-2 number, since 2×90000070000082 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (9000007000009) 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 7 ways as a sum of consecutive naturals, for example, 79696935 + ... + 79809782.

It is an arithmetic number, because the mean of its divisors is an integer number (703424626380).

Almost surely, 29000007000008 is an apocalyptic number.

It is an amenable number.

9000007000008 is an abundant number, since it is smaller than the sum of its proper divisors (13509581044152).

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

9000007000008 is a wasteful number, since it uses less digits than its factorization.

9000007000008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159509077 (or 159509073 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

Subtracting from 9000007000008 its reverse (8000007000009), we obtain a palindrome (999999999999).

The spelling of 9000007000008 in words is "nine trillion, seven million, eight", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 6 8 12 24 2351 4702 7053 9404 14106 18808 28212 56424 159506717 319013434 478520151 638026868 957040302 1276053736 1914080604 3828161208 375000291667 750000583334 1125000875001 1500001166668 2250001750002 3000002333336 4500003500004 9000007000008