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37145079773 is a prime number
BaseRepresentation
bin100010100110000001…
…001110111111011101
310112212201000120012022
4202212001032333131
51102033120023043
625021511545525
72453326653134
oct424601167735
9115781016168
1037145079773
111483147a23a
12724798b2a5
13366c766559
141b2536c91b
15e7604e868
hex8a604efdd

37145079773 has 2 divisors, whose sum is σ = 37145079774. Its totient is φ = 37145079772.

The previous prime is 37145079691. The next prime is 37145079821. The reversal of 37145079773 is 37797054173.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29562675844 + 7582403929 = 171938^2 + 87077^2 .

It is a cyclic number.

It is not a de Polignac number, because 37145079773 - 224 = 37128302557 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (37145079473) 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, 18572539886 + 18572539887.

It is an arithmetic number, because the mean of its divisors is an integer number (18572539887).

Almost surely, 237145079773 is an apocalyptic number.

It is an amenable number.

37145079773 is a deficient number, since it is larger than the sum of its proper divisors (1).

37145079773 is an equidigital number, since it uses as much as digits as its factorization.

37145079773 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3889620, while the sum is 53.

The spelling of 37145079773 in words is "thirty-seven billion, one hundred forty-five million, seventy-nine thousand, seven hundred seventy-three".