Search a number
-
+
37542111124673 is a prime number
BaseRepresentation
bin10001000100100111101000…
…01100101001110011000001
311220220222202021101020020002
420202103310030221303001
514410042220421442143
6211502335135325345
710623220340236241
oct1042236414516301
9156828667336202
1037542111124673
1110a6457a011071
124263ab5080855
1317c428a44c49c
1493b095517b21
154518531065b8
hex2224f4329cc1

37542111124673 has 2 divisors, whose sum is σ = 37542111124674. Its totient is φ = 37542111124672.

The previous prime is 37542111124559. The next prime is 37542111124697. The reversal of 37542111124673 is 37642111124573.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 37368365543089 + 173745581584 = 6112967^2 + 416828^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-37542111124673 is a prime.

It is not a weakly prime, because it can be changed into another prime (37542111126673) 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, 18771055562336 + 18771055562337.

It is an arithmetic number, because the mean of its divisors is an integer number (18771055562337).

Almost surely, 237542111124673 is an apocalyptic number.

It is an amenable number.

37542111124673 is a deficient number, since it is larger than the sum of its proper divisors (1).

37542111124673 is an equidigital number, since it uses as much as digits as its factorization.

37542111124673 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 846720, while the sum is 47.

The spelling of 37542111124673 in words is "thirty-seven trillion, five hundred forty-two billion, one hundred eleven million, one hundred twenty-four thousand, six hundred seventy-three".