Search a number
-
+
13198494384 = 2432293160559
BaseRepresentation
bin11000100101011000…
…10000101010110000
31021001211021222120100
430102230100222300
5204012303310014
610021401312400
7645033231315
oct142254205260
937054258510
1013198494384
11566322a1a9
122684195700
13132454c8ba
148d2c78d0c
15523ab0009
hex312b10ab0

13198494384 has 60 divisors (see below), whose sum is σ = 38211170400. Its totient is φ = 4247789952.

The previous prime is 13198494367. The next prime is 13198494427. The reversal of 13198494384 is 48349489131.

13198494384 is a `hidden beast` number, since 1 + 31 + 98 + 494 + 38 + 4 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 13198494384.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1576104 + ... + 1584455.

It is an arithmetic number, because the mean of its divisors is an integer number (636852840).

Almost surely, 213198494384 is an apocalyptic number.

It is an amenable number.

13198494384 is an abundant number, since it is smaller than the sum of its proper divisors (25012676016).

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

13198494384 is a wasteful number, since it uses less digits than its factorization.

13198494384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3160602 (or 3160593 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 13198494384 in words is "thirteen billion, one hundred ninety-eight million, four hundred ninety-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 4176 3160559 6321118 9481677 12642236 18963354 25284472 28445031 37926708 50568944 56890062 75853416 91656211 113780124 151706832 183312422 227560248 274968633 366624844 455120496 549937266 733249688 824905899 1099874532 1466499376 1649811798 2199749064 3299623596 4399498128 6599247192 13198494384