Search a number
-
+
37144674437 = 1321117196769
BaseRepresentation
bin100010100101111111…
…101100000010000101
310112212200020222011212
4202211333230002011
51102033014040222
625021455141205
72453323344323
oct424577540205
9115780228155
1037144674437
1114831222752
127247814805
13366c653c00
141b252a4d13
15e75ebe6e2
hex8a5fec085

37144674437 has 12 divisors (see below), whose sum is σ = 40257961380. Its totient is φ = 34256521728.

The previous prime is 37144674409. The next prime is 37144674439. The reversal of 37144674437 is 73447644173.

It can be written as a sum of positive squares in 6 ways, for example, as 18766534081 + 18378140356 = 136991^2 + 135566^2 .

It is not a de Polignac number, because 37144674437 - 216 = 37144608901 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37144674439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90389 + ... + 287157.

It is an arithmetic number, because the mean of its divisors is an integer number (3354830115).

Almost surely, 237144674437 is an apocalyptic number.

It is an amenable number.

37144674437 is a deficient number, since it is larger than the sum of its proper divisors (3113286943).

37144674437 is a wasteful number, since it uses less digits than its factorization.

37144674437 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197912 (or 197899 counting only the distinct ones).

The product of its digits is 4741632, while the sum is 50.

The spelling of 37144674437 in words is "thirty-seven billion, one hundred forty-four million, six hundred seventy-four thousand, four hundred thirty-seven".

Divisors: 1 13 169 1117 14521 188773 196769 2557997 33253961 219790973 2857282649 37144674437