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15974316401 is a prime number
BaseRepresentation
bin11101110000010010…
…01011100101110001
31112020021111100112012
432320021023211301
5230203411111101
611201041012305
71103600310011
oct167011134561
945207440465
1015974316401
1168580a338a
123119924095
131677662b34
14ab77a7c41
15637620bbb
hex3b824b971

15974316401 has 2 divisors, whose sum is σ = 15974316402. Its totient is φ = 15974316400.

The previous prime is 15974316359. The next prime is 15974316403. The reversal of 15974316401 is 10461347951.

15974316401 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., 13665610000 + 2308706401 = 116900^2 + 48049^2 .

It is an emirp because it is prime and its reverse (10461347951) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-15974316401 is a prime.

Together with 15974316403, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (15974316403) 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, 7987158200 + 7987158201.

It is an arithmetic number, because the mean of its divisors is an integer number (7987158201).

Almost surely, 215974316401 is an apocalyptic number.

It is an amenable number.

15974316401 is a deficient number, since it is larger than the sum of its proper divisors (1).

15974316401 is an equidigital number, since it uses as much as digits as its factorization.

15974316401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90720, while the sum is 41.

The spelling of 15974316401 in words is "fifteen billion, nine hundred seventy-four million, three hundred sixteen thousand, four hundred one".