Search a number
-
+
37994908201 is a prime number
BaseRepresentation
bin100011011000101011…
…000100101000101001
310122001221010022122021
4203120223010220221
51110303144030301
625242110424441
72513356251055
oct433053045051
9118057108567
1037994908201
1115128153988
127444502121
133776844703
141ba6188c65
15ec596a8a1
hex8d8ac4a29

37994908201 has 2 divisors, whose sum is σ = 37994908202. Its totient is φ = 37994908200.

The previous prime is 37994908187. The next prime is 37994908223. The reversal of 37994908201 is 10280949973.

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., 36695233600 + 1299674601 = 191560^2 + 36051^2 .

It is a cyclic number.

It is not a de Polignac number, because 37994908201 - 27 = 37994908073 is a prime.

It is a super-3 number, since 3×379949082013 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (37994908271) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18997454100 + 18997454101.

It is an arithmetic number, because the mean of its divisors is an integer number (18997454101).

Almost surely, 237994908201 is an apocalyptic number.

It is an amenable number.

37994908201 is a deficient number, since it is larger than the sum of its proper divisors (1).

37994908201 is an equidigital number, since it uses as much as digits as its factorization.

37994908201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 979776, while the sum is 52.

The spelling of 37994908201 in words is "thirty-seven billion, nine hundred ninety-four million, nine hundred eight thousand, two hundred one".