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29145908761 is a prime number
BaseRepresentation
bin11011001001001110…
…110100011000011001
32210020020011120110021
4123021032310120121
5434142323040021
621220041550441
72051156064634
oct331116643031
983206146407
1029145908761
11113a7118702
125794aa5421
132996453878
1415a6c3cc1b
15b58b69c41
hex6c93b4619

29145908761 has 2 divisors, whose sum is σ = 29145908762. Its totient is φ = 29145908760.

The previous prime is 29145908749. The next prime is 29145908837. The reversal of 29145908761 is 16780954192.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16344344025 + 12801564736 = 127845^2 + 113144^2 .

It is a cyclic number.

It is not a de Polignac number, because 29145908761 - 213 = 29145900569 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 29145908699 and 29145908708.

It is not a weakly prime, because it can be changed into another prime (29145908161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 14572954380 + 14572954381.

It is an arithmetic number, because the mean of its divisors is an integer number (14572954381).

Almost surely, 229145908761 is an apocalyptic number.

It is an amenable number.

29145908761 is a deficient number, since it is larger than the sum of its proper divisors (1).

29145908761 is an equidigital number, since it uses as much as digits as its factorization.

29145908761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1088640, while the sum is 52.

The spelling of 29145908761 in words is "twenty-nine billion, one hundred forty-five million, nine hundred eight thousand, seven hundred sixty-one".