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47121961829 is a prime number
BaseRepresentation
bin101011111000101100…
…000001001101100101
311111122000021200110112
4223320230001031211
51233001210234304
633351511102405
73255504031625
oct537054011545
9144560250415
1047121961829
1118a91134408
129171071a05
13459c71b367
1423d03d4885
15135bd92b6e
hexaf8b01365

47121961829 has 2 divisors, whose sum is σ = 47121961830. Its totient is φ = 47121961828.

The previous prime is 47121961793. The next prime is 47121961849. The reversal of 47121961829 is 92816912174.

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., 39470960929 + 7651000900 = 198673^2 + 87470^2 .

It is a cyclic number.

It is not a de Polignac number, because 47121961829 - 216 = 47121896293 is a prime.

It is a super-2 number, since 2×471219618292 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (47121961849) 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, 23560980914 + 23560980915.

It is an arithmetic number, because the mean of its divisors is an integer number (23560980915).

Almost surely, 247121961829 is an apocalyptic number.

It is an amenable number.

47121961829 is a deficient number, since it is larger than the sum of its proper divisors (1).

47121961829 is an equidigital number, since it uses as much as digits as its factorization.

47121961829 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 435456, while the sum is 50.

The spelling of 47121961829 in words is "forty-seven billion, one hundred twenty-one million, nine hundred sixty-one thousand, eight hundred twenty-nine".