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9007107406 = 211894600157
BaseRepresentation
bin10000110001101110…
…11000110101001110
3212020201110110112121
420120313120311032
5121421304414111
64045433323154
7436130102233
oct103067306516
925221413477
109007107406
113902306120
1218b45664ba
13b0709b36b
1461634578a
1537ab32871
hex218dd8d4e

9007107406 has 16 divisors (see below), whose sum is σ = 14904511920. Its totient is φ = 4048137280.

The previous prime is 9007107397. The next prime is 9007107407. The reversal of 9007107406 is 6047017009.

9007107406 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×90071074062 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9007107407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2298121 + ... + 2302036.

It is an arithmetic number, because the mean of its divisors is an integer number (931531995).

Almost surely, 29007107406 is an apocalyptic number.

9007107406 is a deficient number, since it is larger than the sum of its proper divisors (5897404514).

9007107406 is a wasteful number, since it uses less digits than its factorization.

9007107406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4600259.

The product of its (nonzero) digits is 10584, while the sum is 34.

The square root of 9007107406 is about 94905.7817311464. The cubic root of 9007107406 is about 2080.6312345427.

The spelling of 9007107406 in words is "nine billion, seven million, one hundred seven thousand, four hundred six".

Divisors: 1 2 11 22 89 178 979 1958 4600157 9200314 50601727 101203454 409413973 818827946 4503553703 9007107406