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14846832001 is a prime number
BaseRepresentation
bin11011101001111000…
…01010110110000001
31102022200221012200201
431310330022312001
5220401242111001
610453123045201
71033626663331
oct156474126601
942280835621
1014846832001
1163297166a1
122a64210801
131527bab1c1
14a0bb530c1
155bd65b501
hex374f0ad81

14846832001 has 2 divisors, whose sum is σ = 14846832002. Its totient is φ = 14846832000.

The previous prime is 14846831957. The next prime is 14846832019. The reversal of 14846832001 is 10023864841.

14846832001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11497200625 + 3349631376 = 107225^2 + 57876^2 .

It is a cyclic number.

It is not a de Polignac number, because 14846832001 - 219 = 14846307713 is a prime.

It is not a weakly prime, because it can be changed into another prime (14846832061) 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, 7423416000 + 7423416001.

It is an arithmetic number, because the mean of its divisors is an integer number (7423416001).

Almost surely, 214846832001 is an apocalyptic number.

It is an amenable number.

14846832001 is a deficient number, since it is larger than the sum of its proper divisors (1).

14846832001 is an equidigital number, since it uses as much as digits as its factorization.

14846832001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36864, while the sum is 37.

The spelling of 14846832001 in words is "fourteen billion, eight hundred forty-six million, eight hundred thirty-two thousand, one".