Search a number
-
+
37391309381 is a prime number
BaseRepresentation
bin100010110100101100…
…100001101001000101
310120111212100022201102
4202310230201221011
51103034133400011
625102145305445
72462406612536
oct426454415105
9116455308642
1037391309381
1114948468188
1272b6335285
1336ab788a4a
141b49d4668d
15e8c98b73b
hex8b4b21a45

37391309381 has 2 divisors, whose sum is σ = 37391309382. Its totient is φ = 37391309380.

The previous prime is 37391309353. The next prime is 37391309419. The reversal of 37391309381 is 18390319373.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 36355048900 + 1036260481 = 190670^2 + 32191^2 .

It is a cyclic number.

It is not a de Polignac number, because 37391309381 - 214 = 37391292997 is a prime.

It is a super-2 number, since 2×373913093812 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (37391309321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18695654690 + 18695654691.

It is an arithmetic number, because the mean of its divisors is an integer number (18695654691).

Almost surely, 237391309381 is an apocalyptic number.

It is an amenable number.

37391309381 is a deficient number, since it is larger than the sum of its proper divisors (1).

37391309381 is an equidigital number, since it uses as much as digits as its factorization.

37391309381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 367416, while the sum is 47.

The spelling of 37391309381 in words is "thirty-seven billion, three hundred ninety-one million, three hundred nine thousand, three hundred eighty-one".