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738481010000137 is a prime number
BaseRepresentation
bin1010011111101001010000001…
…0010001100100000100001001
310120211202002120022110122001121
42213322110002101210010021
51233243233102030001022
611134341254220115241
7311356330566514465
oct24772240221440411
93524662508418047
10738481010000137
111a4337045a91938
126a9aa698095b21
132590a5ca757c01
14d050958bd94a5
155a598bc09d2c7
hex29fa502464109

738481010000137 has 2 divisors, whose sum is σ = 738481010000138. Its totient is φ = 738481010000136.

The previous prime is 738481010000093. The next prime is 738481010000179. The reversal of 738481010000137 is 731000010184837.

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., 668366026906176 + 70114983093961 = 25852776^2 + 8373469^2 .

It is an emirp because it is prime and its reverse (731000010184837) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 738481010000137 - 211 = 738481009998089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 738481010000093 and 738481010000102.

It is not a weakly prime, because it can be changed into another prime (738481010000537) 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, 369240505000068 + 369240505000069.

It is an arithmetic number, because the mean of its divisors is an integer number (369240505000069).

Almost surely, 2738481010000137 is an apocalyptic number.

It is an amenable number.

738481010000137 is a deficient number, since it is larger than the sum of its proper divisors (1).

738481010000137 is an equidigital number, since it uses as much as digits as its factorization.

738481010000137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112896, while the sum is 43.

The spelling of 738481010000137 in words is "seven hundred thirty-eight trillion, four hundred eighty-one billion, ten million, one hundred thirty-seven", and thus it is an aban number.