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37127117414389 is a prime number
BaseRepresentation
bin10000111000100010101001…
…01001010001111111110101
311212110022120122111110102011
420130101110221101333311
514331242314024230024
6210543543504044221
710551226403013202
oct1034212451217765
9155408518443364
1037127117414389
1110914581973272
1241b7598603671
1317940c2687c32
14924d67ccaca9
15445b6523c094
hex21c454a51ff5

37127117414389 has 2 divisors, whose sum is σ = 37127117414390. Its totient is φ = 37127117414388.

The previous prime is 37127117414333. The next prime is 37127117414461. The reversal of 37127117414389 is 98341471172173.

37127117414389 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 36471236096164 + 655881318225 = 6039142^2 + 809865^2 .

It is a cyclic number.

It is not a de Polignac number, because 37127117414389 - 29 = 37127117413877 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (37127117414329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18563558707194 + 18563558707195.

It is an arithmetic number, because the mean of its divisors is an integer number (18563558707195).

Almost surely, 237127117414389 is an apocalyptic number.

It is an amenable number.

37127117414389 is a deficient number, since it is larger than the sum of its proper divisors (1).

37127117414389 is an equidigital number, since it uses as much as digits as its factorization.

37127117414389 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7112448, while the sum is 58.

The spelling of 37127117414389 in words is "thirty-seven trillion, one hundred twenty-seven billion, one hundred seventeen million, four hundred fourteen thousand, three hundred eighty-nine".