Search a number
-
+
37050553349 is a prime number
BaseRepresentation
bin100010100000011000…
…101001010000000101
310112122010011010022122
4202200120221100011
51101334420201344
625004253535325
72451101335655
oct424030512005
9115563133278
1037050553349
1114793087127
1272201a4545
133655cbb264
141b169a4365
15e6cacbaee
hex8a0629405

37050553349 has 2 divisors, whose sum is σ = 37050553350. Its totient is φ = 37050553348.

The previous prime is 37050553303. The next prime is 37050553369. The reversal of 37050553349 is 94335505073.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 36703662724 + 346890625 = 191582^2 + 18625^2 .

It is a cyclic number.

It is not a de Polignac number, because 37050553349 - 224 = 37033776133 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (37050553369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18525276674 + 18525276675.

It is an arithmetic number, because the mean of its divisors is an integer number (18525276675).

Almost surely, 237050553349 is an apocalyptic number.

It is an amenable number.

37050553349 is a deficient number, since it is larger than the sum of its proper divisors (1).

37050553349 is an equidigital number, since it uses as much as digits as its factorization.

37050553349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 850500, while the sum is 44.

The spelling of 37050553349 in words is "thirty-seven billion, fifty million, five hundred fifty-three thousand, three hundred forty-nine".