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37006611361009 is a prime number
BaseRepresentation
bin10000110101000010001011…
…11011001010110011110001
311212000210112101002200011221
420122201011323022303301
514322304020002023014
6210412334053105041
710536432220322413
oct1032410573126361
9155023471080157
1037006611361009
1110878463397814
124198167328181
1317859296a93c4
1491d1b56949b3
15442960b24b24
hex21a845ecacf1

37006611361009 has 2 divisors, whose sum is σ = 37006611361010. Its totient is φ = 37006611361008.

The previous prime is 37006611361007. The next prime is 37006611361043. The reversal of 37006611361009 is 90016311660073.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 34562970224784 + 2443641136225 = 5879028^2 + 1563215^2 .

It is a cyclic number.

It is not a de Polignac number, because 37006611361009 - 21 = 37006611361007 is a prime.

Together with 37006611361007, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (37006611361003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18503305680504 + 18503305680505.

It is an arithmetic number, because the mean of its divisors is an integer number (18503305680505).

Almost surely, 237006611361009 is an apocalyptic number.

It is an amenable number.

37006611361009 is a deficient number, since it is larger than the sum of its proper divisors (1).

37006611361009 is an equidigital number, since it uses as much as digits as its factorization.

37006611361009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 122472, while the sum is 43.

The spelling of 37006611361009 in words is "thirty-seven trillion, six billion, six hundred eleven million, three hundred sixty-one thousand, nine".