Search a number
-
+
37934180219329 = 61590732
BaseRepresentation
bin10001010000000001111010…
…10101100011100111000001
311222022110202020112212100221
420220000331111203213001
514433003200114004304
6212402415524543041
710663440230453242
oct1050007525434701
9158273666485327
1037934180219329
11110a5882878939
124307a94251a81
13182224095a114
1495204a27acc9
1545bb4d602054
hex22803d5639c1

37934180219329 has 3 divisors (see below), whose sum is σ = 37934186378403. Its totient is φ = 37934174060256.

The previous prime is 37934180219317. The next prime is 37934180219339. The reversal of 37934180219329 is 92391208143973.

It is a happy number.

The square root of 37934180219329 is 6159073.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 16233042450625 + 21701137768704 = 4029025^2 + 4658448^2 .

It is a de Polignac number, because none of the positive numbers 2k-37934180219329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (37934180219339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 3079537 + ... + 9238609.

It is an arithmetic number, because the mean of its divisors is an integer number (12644728792801).

Almost surely, 237934180219329 is an apocalyptic number.

37934180219329 is the 6159073-rd square number.

37934180219329 is the 3079537-th centered octagonal number.

It is an amenable number.

37934180219329 is a deficient number, since it is larger than the sum of its proper divisors (6159074).

37934180219329 is an frugal number, since it uses more digits than its factorization.

37934180219329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12318146 (or 6159073 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 61.

The spelling of 37934180219329 in words is "thirty-seven trillion, nine hundred thirty-four billion, one hundred eighty million, two hundred nineteen thousand, three hundred twenty-nine".

Divisors: 1 6159073 37934180219329