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9008048129 is a prime number
BaseRepresentation
bin10000110001110101…
…11110100000000001
3212020210020020222012
420120322332200001
5121422030020004
64045505422305
7436141100663
oct103072764001
925223206865
109008048129
113902898983
1218b493a995
13b0733a5c2
1461650c533
1537ac6b46e
hex218ebe801

9008048129 has 2 divisors, whose sum is σ = 9008048130. Its totient is φ = 9008048128.

The previous prime is 9008048051. The next prime is 9008048149. The reversal of 9008048129 is 9218408009.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7859177104 + 1148871025 = 88652^2 + 33895^2 .

It is a cyclic number.

It is not a de Polignac number, because 9008048129 - 220 = 9006999553 is a prime.

It is a super-2 number, since 2×90080481292 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (9008048149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4504024064 + 4504024065.

It is an arithmetic number, because the mean of its divisors is an integer number (4504024065).

Almost surely, 29008048129 is an apocalyptic number.

It is an amenable number.

9008048129 is a deficient number, since it is larger than the sum of its proper divisors (1).

9008048129 is an equidigital number, since it uses as much as digits as its factorization.

9008048129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 41472, while the sum is 41.

The square root of 9008048129 is about 94910.7376907376. The cubic root of 9008048129 is about 2080.7036673239.

The spelling of 9008048129 in words is "nine billion, eight million, forty-eight thousand, one hundred twenty-nine".