Search a number
-
+
38539971856 = 2417228872
BaseRepresentation
bin100011111001001010…
…010100110100010000
310200110220202102102001
4203321022110310100
51112412213044411
625412141203344
72533025232661
oct437112246420
9120426672361
1038539971856
111538789a311
127576b60554
133832747099
141c18711368
151008735dc1
hex8f9294d10

38539971856 has 45 divisors (see below), whose sum is σ = 79349481669. Its totient is φ = 18130175232.

The previous prime is 38539971853. The next prime is 38539971923. The reversal of 38539971856 is 65817993583.

The square root of 38539971856 is 196316.

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

It can be written as a sum of positive squares in only one way, i.e., 30005168400 + 8534803456 = 173220^2 + 92384^2 .

It is a super-2 number, since 2×385399718562 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38539971853) 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, 13348045 + ... + 13350931.

Almost surely, 238539971856 is an apocalyptic number.

38539971856 is the 196316-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38539971856

38539971856 is an abundant number, since it is smaller than the sum of its proper divisors (40809509813).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38539971856 is an frugal number, since it uses more digits than its factorization.

38539971856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5816 (or 2906 counting only the distinct ones).

The product of its digits is 48988800, while the sum is 64.

Multiplying 38539971856 by its sum of digits (64), we get a square (2466558198784 = 15705282).

The spelling of 38539971856 in words is "thirty-eight billion, five hundred thirty-nine million, nine hundred seventy-one thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 1156 2312 2887 4624 5774 11548 23096 46192 49079 98158 196316 392632 785264 834343 1668686 3337372 6674744 8334769 13349488 16669538 33339076 66678152 133356304 141691073 283382146 566764292 1133528584 2267057168 2408748241 4817496482 9634992964 19269985928 38539971856