Search a number
-
+
37370666666681 is a prime number
BaseRepresentation
bin10000111111101000010010…
…10011111100101010111001
311220022121020000101101020122
420133310021103330222321
514344240111131313211
6211251503001503025
710604640646342265
oct1037641123745271
9156277200341218
1037370666666681
11109a88a109a267
1242368287a1a75
1317b106717bc3a
14932a6dab90a5
1544c16ba836db
hex21fd094fcab9

37370666666681 has 2 divisors, whose sum is σ = 37370666666682. Its totient is φ = 37370666666680.

The previous prime is 37370666666621. The next prime is 37370666666701. The reversal of 37370666666681 is 18666666607373.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20442009008656 + 16928657658025 = 4521284^2 + 4114445^2 .

It is an emirp because it is prime and its reverse (18666666607373) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-37370666666681 is a prime.

It is a super-2 number, since 2×373706666666812 (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (37370666666621) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18685333333340 + 18685333333341.

It is an arithmetic number, because the mean of its divisors is an integer number (18685333333341).

Almost surely, 237370666666681 is an apocalyptic number.

It is an amenable number.

37370666666681 is a deficient number, since it is larger than the sum of its proper divisors (1).

37370666666681 is an equidigital number, since it uses as much as digits as its factorization.

37370666666681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 987614208, while the sum is 71.

The spelling of 37370666666681 in words is "thirty-seven trillion, three hundred seventy billion, six hundred sixty-six million, six hundred sixty-six thousand, six hundred eighty-one".