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9009000007 = 72732518591
BaseRepresentation
bin10000110001111101…
…00110111001000111
3212020212000121200221
420120332212321013
5121422301000012
64045542045211
7436152144100
oct103076467107
925225017627
109009000007
113903389057
1218b5119807
13b075b1947
146166b93a7
1537ada8507
hex218fa6e47

9009000007 has 12 divisors (see below), whose sum is σ = 10623421056. Its totient is φ = 7616216160.

The previous prime is 9009000001. The next prime is 9009000023. The reversal of 9009000007 is 7000009009.

It is not a de Polignac number, because 9009000007 - 23 = 9008999999 is a prime.

It is a super-2 number, since 2×90090000072 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9009000001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1255719 + ... + 1262872.

It is an arithmetic number, because the mean of its divisors is an integer number (885285088).

Almost surely, 29009000007 is an apocalyptic number.

9009000007 is a deficient number, since it is larger than the sum of its proper divisors (1614421049).

9009000007 is a wasteful number, since it uses less digits than its factorization.

9009000007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2518678 (or 2518671 counting only the distinct ones).

The product of its (nonzero) digits is 567, while the sum is 25.

The square root of 9009000007 is about 94915.7521542131. The cubic root of 9009000007 is about 2080.7769538731.

The spelling of 9009000007 in words is "nine billion, nine million, seven", and thus it is an aban number and an uban number.

Divisors: 1 7 49 73 511 3577 2518591 17630137 123410959 183857143 1287000001 9009000007