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9007136097 = 3113120122123
BaseRepresentation
bin10000110001101110…
…11111110101100001
3212020201111220220020
420120313133311201
5121421311323342
64045434104053
7436130252001
oct103067376541
925221456806
109007136097
113902325733
1218b457b029
13b070ab43b
14616352001
1537ab3b0ec
hex218ddfd61

9007136097 has 16 divisors (see below), whose sum is σ = 12126429888. Its totient is φ = 5946393600.

The previous prime is 9007136093. The next prime is 9007136101. The reversal of 9007136097 is 7906317009.

It is an interprime number because it is at equal distance from previous prime (9007136093) and next prime (9007136101).

It is not a de Polignac number, because 9007136097 - 22 = 9007136093 is a prime.

It is a super-2 number, since 2×90071360972 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9007136093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 396078 + ... + 418200.

It is an arithmetic number, because the mean of its divisors is an integer number (757901868).

Almost surely, 29007136097 is an apocalyptic number.

It is an amenable number.

9007136097 is a deficient number, since it is larger than the sum of its proper divisors (3119293791).

9007136097 is a wasteful number, since it uses less digits than its factorization.

9007136097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23440.

The product of its (nonzero) digits is 71442, while the sum is 42.

The square root of 9007136097 is about 94905.9328862005. The cubic root of 9007136097 is about 2080.6334437361.

The spelling of 9007136097 in words is "nine billion, seven million, one hundred thirty-six thousand, ninety-seven".

Divisors: 1 3 113 339 1201 3603 22123 66369 135713 407139 2499899 7499697 26569723 79709169 3002378699 9007136097