Search a number
-
+
38376216081316 = 2231241224372
BaseRepresentation
bin10001011100111001010001…
…01110100011001110100100
312000212201201111000021111001
420232130220232203032210
520012223442304100231
6213341442411323044
711040406260341611
oct1056345056431644
9160781644007431
1038376216081316
111125629756a543
124379699150484
131854b28070279
149695c115d508
154683c05cab61
hex22e728ba33a4

38376216081316 has 81 divisors (see below), whose sum is σ = 71157694658211. Its totient is φ = 18108797212800.

The previous prime is 38376216081289. The next prime is 38376216081317. The reversal of 38376216081316 is 61318061267383.

It is a happy number.

The square root of 38376216081316 is 6194854.

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 19201644900 + 38357014436416 = 138570^2 + 6193304^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38376216081317) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15747317650 + ... + 15747320086.

Almost surely, 238376216081316 is an apocalyptic number.

38376216081316 is the 6194854-th square number.

It is an amenable number.

38376216081316 is a deficient number, since it is larger than the sum of its proper divisors (32781478576895).

38376216081316 is an frugal number, since it uses more digits than its factorization.

38376216081316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5022 (or 2511 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 55.

The spelling of 38376216081316 in words is "thirty-eight trillion, three hundred seventy-six billion, two hundred sixteen million, eighty-one thousand, three hundred sixteen".

Divisors: 1 2 4 31 41 62 82 124 164 961 1271 1681 1922 2437 2542 3362 3844 4874 5084 6724 9748 39401 52111 75547 78802 99917 104222 151094 157604 199834 208444 302188 399668 1615441 2341957 3097427 3230882 4096597 4683914 5938969 6194854 6461764 8193194 9367828 11877938 12389708 16386388 23755876 96020237 126994507 184108039 192040474 243497729 253989014 368216078 384080948 486995458 507978028 736432156 973990916 3936829717 5707349209 7548429599 7873659434 9983406889 11414698418 15096859198 15747318868 19966813778 22829396836 30193718396 39933627556 234001317569 309485613559 468002635138 618971227118 936005270276 1237942454236 9594054020329 19188108040658 38376216081316