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13824036671 is a prime number
BaseRepresentation
bin11001101111111101…
…00000111100111111
31022200102100211021012
430313332200330333
5211302423133141
610203425025435
7666400241624
oct146776407477
938612324235
1013824036671
1159543433a5
12281978527b
1313c401c473
14951d9034b
1555d975ceb
hex337fa0f3f

13824036671 has 2 divisors, whose sum is σ = 13824036672. Its totient is φ = 13824036670.

The previous prime is 13824036643. The next prime is 13824036689. The reversal of 13824036671 is 17663042831.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13824036671 is a prime.

It is a super-2 number, since 2×138240366712 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13824036601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6912018335 + 6912018336.

It is an arithmetic number, because the mean of its divisors is an integer number (6912018336).

Almost surely, 213824036671 is an apocalyptic number.

13824036671 is a deficient number, since it is larger than the sum of its proper divisors (1).

13824036671 is an equidigital number, since it uses as much as digits as its factorization.

13824036671 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 145152, while the sum is 41.

The spelling of 13824036671 in words is "thirteen billion, eight hundred twenty-four million, thirty-six thousand, six hundred seventy-one".