Search a number
-
+
37044315961 = 19729772
BaseRepresentation
bin100010100000000000…
…110110011100111001
310112121200102020020021
4202200000312130321
51101331321102321
625003512130441
72450664330112
oct424000663471
9115550366207
1037044315961
111478a606964
12721a096a21
1336549161b3
141b15c1d209
15e6c298941
hex8a0036739

37044315961 has 9 divisors (see below), whose sum is σ = 37271461549. Its totient is φ = 36818549824.

The previous prime is 37044315943. The next prime is 37044315977. The reversal of 37044315961 is 16951344073.

The square root of 37044315961 is 192469.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 31446283561 + 5598032400 = 177331^2 + 74820^2 .

It is not a de Polignac number, because 37044315961 - 221 = 37042218809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (37044315901) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 37915905 + ... + 37916881.

Almost surely, 237044315961 is an apocalyptic number.

37044315961 is the 192469-th square number.

37044315961 is the 96235-th centered octagonal number.

It is an amenable number.

37044315961 is a deficient number, since it is larger than the sum of its proper divisors (227145588).

37044315961 is an frugal number, since it uses more digits than its factorization.

37044315961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2348 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 43.

The spelling of 37044315961 in words is "thirty-seven billion, forty-four million, three hundred fifteen thousand, nine hundred sixty-one".

Divisors: 1 197 977 38809 192469 954529 37916393 188042213 37044315961