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9000990990009 = 333718149779011
BaseRepresentation
bin1000001011111011010011…
…0111101101111010111001
31011212111010112112100002000
42002332310313231322321
52134433012143140014
631050555334531213
71616204643022044
oct202766467557271
934774115470060
109000990990009
112960331838637
121014551806b09
13503a36293b05
14231916569c5b
1510920a6cd509
hex82fb4dedeb9

9000990990009 has 32 divisors (see below), whose sum is σ = 13770865879680. Its totient is φ = 5806223726400.

The previous prime is 9000990990001. The next prime is 9000990990031.

9000990990009 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 9000990990009 - 23 = 9000990990001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9000990990001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24708687 + ... + 25070324.

It is an arithmetic number, because the mean of its divisors is an integer number (430339558740).

Almost surely, 29000990990009 is an apocalyptic number.

It is an amenable number.

9000990990009 is a deficient number, since it is larger than the sum of its proper divisors (4769874889671).

9000990990009 is a wasteful number, since it uses less digits than its factorization.

9000990990009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49779238 (or 49779232 counting only the distinct ones).

The product of its (nonzero) digits is 531441, while the sum is 54.

It can be divided in two parts, 9000990 and 990009, that added together give a palindrome (9990999).

The spelling of 9000990990009 in words is "nine trillion, nine hundred ninety million, nine hundred ninety thousand, nine".

Divisors: 1 3 9 27 37 111 181 333 543 999 1629 4887 6697 20091 60273 180819 49779011 149337033 448011099 1344033297 1841823407 5525470221 9010000991 16576410663 27030002973 49729231989 81090008919 243270026757 333370036667 1000110110001 3000330330003 9000990990009