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54626241601 is a prime number
BaseRepresentation
bin110010110111111110…
…100100110001000001
312012222222220121001101
4302313332210301001
51343333304212401
641032301534401
73642455251411
oct626776446101
9165888817041
1054626241601
11211920a8918
12a706274401
1351c73473a9
142902cdc641
15164aabd101
hexcb7fa4c41

54626241601 has 2 divisors, whose sum is σ = 54626241602. Its totient is φ = 54626241600.

The previous prime is 54626241599. The next prime is 54626241611. The reversal of 54626241601 is 10614262645.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 50333371201 + 4292870400 = 224351^2 + 65520^2 .

It is a cyclic number.

It is not a de Polignac number, because 54626241601 - 21 = 54626241599 is a prime.

Together with 54626241599, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (54626241611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 27313120800 + 27313120801.

It is an arithmetic number, because the mean of its divisors is an integer number (27313120801).

Almost surely, 254626241601 is an apocalyptic number.

It is an amenable number.

54626241601 is a deficient number, since it is larger than the sum of its proper divisors (1).

54626241601 is an equidigital number, since it uses as much as digits as its factorization.

54626241601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 54626241601 in words is "fifty-four billion, six hundred twenty-six million, two hundred forty-one thousand, six hundred one".