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11829346957 is a prime number
BaseRepresentation
bin10110000010001010…
…11000001010001101
31010112102000002101101
423001011120022031
5143211303100312
65233451543101
7566066535001
oct130105301215
933472002341
1011829346957
1150203a34aa
12236175aa91
1311669b41ac
148030b8701
154937b1a57
hex2c115828d

11829346957 has 2 divisors, whose sum is σ = 11829346958. Its totient is φ = 11829346956.

The previous prime is 11829346943. The next prime is 11829346967. The reversal of 11829346957 is 75964392811.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11815907401 + 13439556 = 108701^2 + 3666^2 .

It is an emirp because it is prime and its reverse (75964392811) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11829346957 - 27 = 11829346829 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11829346898 and 11829346907.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11829346927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5914673478 + 5914673479.

It is an arithmetic number, because the mean of its divisors is an integer number (5914673479).

Almost surely, 211829346957 is an apocalyptic number.

It is an amenable number.

11829346957 is a deficient number, since it is larger than the sum of its proper divisors (1).

11829346957 is an equidigital number, since it uses as much as digits as its factorization.

11829346957 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3265920, while the sum is 55.

The spelling of 11829346957 in words is "eleven billion, eight hundred twenty-nine million, three hundred forty-six thousand, nine hundred fifty-seven".