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2136829073 is a prime number
BaseRepresentation
bin111111101011101…
…0110110010010001
312111220211011102112
41333113112302101
513334012012243
6552011355105
7103644514241
oct17727266221
95456734375
102136829073
119a7203345
124b7752a95
13280914302
14163b15b21
15c78de818
hex7f5d6c91

2136829073 has 2 divisors, whose sum is σ = 2136829074. Its totient is φ = 2136829072.

The previous prime is 2136829061. The next prime is 2136829081. The reversal of 2136829073 is 3709286312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1137510529 + 999318544 = 33727^2 + 31612^2 .

It is a cyclic number.

It is not a de Polignac number, because 2136829073 - 220 = 2135780497 is a prime.

It is a super-3 number, since 3×21368290733 (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2136829073.

It is not a weakly prime, because it can be changed into another prime (2136829003) 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 as a sum of consecutive naturals, namely, 1068414536 + 1068414537.

It is an arithmetic number, because the mean of its divisors is an integer number (1068414537).

Almost surely, 22136829073 is an apocalyptic number.

It is an amenable number.

2136829073 is a deficient number, since it is larger than the sum of its proper divisors (1).

2136829073 is an equidigital number, since it uses as much as digits as its factorization.

2136829073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108864, while the sum is 41.

The square root of 2136829073 is about 46225.8485373714. The cubic root of 2136829073 is about 1288.0219414961.

It can be divided in two parts, 213 and 6829073, that added together give a palindrome (6829286).

The spelling of 2136829073 in words is "two billion, one hundred thirty-six million, eight hundred twenty-nine thousand, seventy-three".