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37664251942781 is a prime number
BaseRepresentation
bin10001001000001011001000…
…10110111001011101111101
311221100200000110212200002002
420210011210112321131331
514414042341444132111
6212034415105112045
710635103163121662
oct1044054426713575
9157320013780062
1037664251942781
1111001357353552
124283701928625
131802954016719
14942d60cd3a69
15454b00ed863b
hex2241645b977d

37664251942781 has 2 divisors, whose sum is σ = 37664251942782. Its totient is φ = 37664251942780.

The previous prime is 37664251942753. The next prime is 37664251942819. The reversal of 37664251942781 is 18724915246673.

It is a happy number.

37664251942781 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., 33616409737156 + 4047842205625 = 5797966^2 + 2011925^2 .

It is a cyclic number.

It is not a de Polignac number, because 37664251942781 - 214 = 37664251926397 is a prime.

It is a super-2 number, since 2×376642519427812 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (37664251942741) 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, 18832125971390 + 18832125971391.

It is an arithmetic number, because the mean of its divisors is an integer number (18832125971391).

Almost surely, 237664251942781 is an apocalyptic number.

It is an amenable number.

37664251942781 is a deficient number, since it is larger than the sum of its proper divisors (1).

37664251942781 is an equidigital number, since it uses as much as digits as its factorization.

37664251942781 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 121927680, while the sum is 65.

The spelling of 37664251942781 in words is "thirty-seven trillion, six hundred sixty-four billion, two hundred fifty-one million, nine hundred forty-two thousand, seven hundred eighty-one".