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7364213137 is a prime number
BaseRepresentation
bin1101101101111000…
…01111100110010001
3201000020001210021201
412312330033212101
5110040214310022
63214424351201
7350330531101
oct66674174621
921006053251
107364213137
1131399a7366
121516315501
139048c7588
144dc087201
152d17ae127
hex1b6f0f991

7364213137 has 2 divisors, whose sum is σ = 7364213138. Its totient is φ = 7364213136.

The previous prime is 7364213123. The next prime is 7364213149. The reversal of 7364213137 is 7313124637.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4486856256 + 2877356881 = 66984^2 + 53641^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-7364213137 is a prime.

It is a super-3 number, since 3×73642131373 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7364213096 and 7364213105.

It is not a weakly prime, because it can be changed into another prime (7364213537) 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, 3682106568 + 3682106569.

It is an arithmetic number, because the mean of its divisors is an integer number (3682106569).

Almost surely, 27364213137 is an apocalyptic number.

It is an amenable number.

7364213137 is a deficient number, since it is larger than the sum of its proper divisors (1).

7364213137 is an equidigital number, since it uses as much as digits as its factorization.

7364213137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 63504, while the sum is 37.

The square root of 7364213137 is about 85814.9936607817. The cubic root of 7364213137 is about 1945.5487455841.

The spelling of 7364213137 in words is "seven billion, three hundred sixty-four million, two hundred thirteen thousand, one hundred thirty-seven".