Search a number
-
+
38182723216 = 2411244412
BaseRepresentation
bin100011100011110111…
…100001111010010000
310122120000112022101221
4203203313201322100
51111144234120331
625312500134424
72521126535521
oct434367417220
9118500468357
1038182723216
1115214174100
127497397414
1337a6723761
141bc30b8848
15ed71b9711
hex8e3de1e90

38182723216 has 45 divisors (see below), whose sum is σ = 81334103529. Its totient is φ = 17351875200.

The previous prime is 38182723211. The next prime is 38182723277. The reversal of 38182723216 is 61232728183.

The square root of 38182723216 is 195404.

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

38182723216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 14736988816 + 23445734400 = 121396^2 + 153120^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38182723211) 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, 8595556 + ... + 8599996.

Almost surely, 238182723216 is an apocalyptic number.

38182723216 is the 195404-th square number.

It is an amenable number.

38182723216 is an abundant number, since it is smaller than the sum of its proper divisors (43151380313).

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

38182723216 is an frugal number, since it uses more digits than its factorization.

38182723216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8912 (or 4454 counting only the distinct ones).

The product of its digits is 193536, while the sum is 43.

The spelling of 38182723216 in words is "thirty-eight billion, one hundred eighty-two million, seven hundred twenty-three thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 4441 8882 17764 35528 48851 71056 97702 195404 390808 537361 781616 1074722 2149444 4298888 8597776 19722481 39444962 78889924 157779848 216947291 315559696 433894582 867789164 1735578328 2386420201 3471156656 4772840402 9545680804 19091361608 38182723216