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2082464129 is a prime number
BaseRepresentation
bin111110000011111…
…1110000110000001
312101010112010202002
41330013332012001
513231102323004
6542350233345
7102414436664
oct17407760601
95333463662
102082464129
11979551139
124a14b5855
1327258b1c5
1415a8036db
15c2c5161e
hex7c1fe181

2082464129 has 2 divisors, whose sum is σ = 2082464130. Its totient is φ = 2082464128.

The previous prime is 2082464123. The next prime is 2082464149. The reversal of 2082464129 is 9214642802.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1150566400 + 931897729 = 33920^2 + 30527^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2082464129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2082464092 and 2082464101.

It is not a weakly prime, because it can be changed into another prime (2082464123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1041232064 + 1041232065.

It is an arithmetic number, because the mean of its divisors is an integer number (1041232065).

Almost surely, 22082464129 is an apocalyptic number.

It is an amenable number.

2082464129 is a deficient number, since it is larger than the sum of its proper divisors (1).

2082464129 is an equidigital number, since it uses as much as digits as its factorization.

2082464129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 2082464129 is about 45634.0238089958. The cubic root of 2082464129 is about 1277.0047414201.

The spelling of 2082464129 in words is "two billion, eighty-two million, four hundred sixty-four thousand, one hundred twenty-nine".