Search a number
-
+
13384938348 = 22324318014801
BaseRepresentation
bin11000111011100110…
…11111001101101100
31021112211010022121100
430131303133031230
5204403021011343
610052101403100
7652456045605
oct143563371554
937484108540
1013384938348
1157494a3321
122716709490
13135406b882
1490d92cdac
1553513c9d3
hex31dcdf36c

13384938348 has 72 divisors (see below), whose sum is σ = 34647428816. Its totient is φ = 4354560000.

The previous prime is 13384938337. The next prime is 13384938353. The reversal of 13384938348 is 84383948331.

13384938348 is a `hidden beast` number, since 1 + 3 + 38 + 493 + 83 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13384938294 and 13384938303.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2785548 + ... + 2790348.

Almost surely, 213384938348 is an apocalyptic number.

13384938348 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13384938348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17323714408).

13384938348 is an abundant number, since it is smaller than the sum of its proper divisors (21262490468).

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

13384938348 is a wasteful number, since it uses less digits than its factorization.

13384938348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6655 (or 6650 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The spelling of 13384938348 in words is "thirteen billion, three hundred eighty-four million, nine hundred thirty-eight thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 774 1548 1801 3602 4801 5403 7204 9602 10806 14403 16209 19204 21612 28806 32418 43209 57612 64836 77443 86418 154886 172836 206443 232329 309772 412886 464658 619329 696987 825772 929316 1238658 1393974 1857987 2477316 2787948 3715974 7431948 8646601 17293202 25939803 34586404 51879606 77819409 103759212 155638818 311277636 371803843 743607686 1115411529 1487215372 2230823058 3346234587 4461646116 6692469174 13384938348