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9012077009 = 131744990821
BaseRepresentation
bin10000110010010100…
…10110000111010001
3212021001210221112222
420121022112013101
5121424042431014
64050132030425
7436220250665
oct103112260721
925231727488
109012077009
11390509a931
1218b6162415
13b0811b360
14616c7a8a5
1537b2b508e
hex2192961d1

9012077009 has 16 divisors (see below), whose sum is σ = 10299214800. Its totient is φ = 7811973120.

The previous prime is 9012076973. The next prime is 9012077023. The reversal of 9012077009 is 9007702109.

It can be written as a sum of positive squares in 8 ways, for example, as 58186384 + 8953890625 = 7628^2 + 94625^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-9012077009 is a prime.

It is a super-2 number, since 2×90120770092 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 9012077009.

It is not an unprimeable number, because it can be changed into a prime (9012077069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53819 + ... + 144639.

It is an arithmetic number, because the mean of its divisors is an integer number (643700925).

Almost surely, 29012077009 is an apocalyptic number.

It is an amenable number.

9012077009 is a deficient number, since it is larger than the sum of its proper divisors (1287137791).

9012077009 is a wasteful number, since it uses less digits than its factorization.

9012077009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91300.

The product of its (nonzero) digits is 7938, while the sum is 35.

The square root of 9012077009 is about 94931.9598923355. The cubic root of 9012077009 is about 2081.0138216740.

The spelling of 9012077009 in words is "nine billion, twelve million, seventy-seven thousand, nine".

Divisors: 1 13 17 221 449 5837 7633 90821 99229 1180673 1543957 20071441 40778629 530122177 693236693 9012077009