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34037037037 is a prime number
BaseRepresentation
bin11111101100110000…
…111111011111101101
310020212002200122002101
4133230300333133231
51024201440141122
623345243455101
72313320020063
oct375460773755
9106762618071
1034037037037
1113487024783
12671ab27491
133295883803
14190c680033
15d43268027
hex7ecc3f7ed

34037037037 has 2 divisors, whose sum is σ = 34037037038. Its totient is φ = 34037037036.

The previous prime is 34037037017. The next prime is 34037037053. The reversal of 34037037037 is 73073073043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31700378116 + 2336658921 = 178046^2 + 48339^2 .

It is a cyclic number.

It is not a de Polignac number, because 34037037037 - 215 = 34037004269 is a prime.

34037037037 is a modest number, since divided by 37037 gives 34037 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 34037036987 and 34037037005.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34037037007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17018518518 + 17018518519.

It is an arithmetic number, because the mean of its divisors is an integer number (17018518519).

Almost surely, 234037037037 is an apocalyptic number.

It is an amenable number.

34037037037 is a deficient number, since it is larger than the sum of its proper divisors (1).

34037037037 is an equidigital number, since it uses as much as digits as its factorization.

34037037037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 111132, while the sum is 37.

The spelling of 34037037037 in words is "thirty-four billion, thirty-seven million, thirty-seven thousand, thirty-seven".