Search a number
-
+
18836746208 = 257216217411
BaseRepresentation
bin10001100010110000…
…011110111111100000
31210121202122212000222
4101202300132333200
5302034201334313
612353052502212
71234535462300
oct214260367740
953552585028
1018836746208
117a96941255
12379847a968
131a126aac97
14ca99dd600
15753a8d208
hex462c1efe0

18836746208 has 72 divisors (see below), whose sum is σ = 43171950024. Its totient is φ = 8066822400.

The previous prime is 18836746207. The next prime is 18836746211. The reversal of 18836746208 is 80264763881.

It is a self number, because there is not a number n which added to its sum of digits gives 18836746208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18836746207) 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, 2538023 + ... + 2545433.

It is an arithmetic number, because the mean of its divisors is an integer number (599610417).

Almost surely, 218836746208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18836746208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21585975012).

18836746208 is an abundant number, since it is smaller than the sum of its proper divisors (24335203816).

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

18836746208 is a wasteful number, since it uses less digits than its factorization.

18836746208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9056 (or 9041 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 53.

The spelling of 18836746208 in words is "eighteen billion, eight hundred thirty-six million, seven hundred forty-six thousand, two hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 1621 3242 6484 7411 11347 12968 14822 22694 25936 29644 45388 51872 51877 59288 79429 90776 103754 118576 158858 181552 207508 237152 317716 363104 363139 415016 635432 726278 830032 1270864 1452556 1660064 2541728 2905112 5810224 11620448 12013231 24026462 48052924 84092617 96105848 168185234 192211696 336370468 384423392 588648319 672740936 1177296638 1345481872 2354593276 2690963744 4709186552 9418373104 18836746208