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16382840208 = 243748758453
BaseRepresentation
bin11110100000111111…
…00100110110010000
31120021202012111211120
433100133210312100
5232023001341313
611305353042240
71116660562350
oct172037446620
946252174746
1016382840208
116a47760369
1232126b6380
13171119a0b7
14b15b4ab60
1565d419d23
hex3d07e4d90

16382840208 has 40 divisors (see below), whose sum is σ = 48368386368. Its totient is φ = 4680811392.

The previous prime is 16382840189. The next prime is 16382840209. The reversal of 16382840208 is 80204828361.

It is a happy number.

16382840208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×163828402082 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 16382840208.

It is not an unprimeable number, because it can be changed into a prime (16382840209) 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 7 ways as a sum of consecutive naturals, for example, 24378891 + ... + 24379562.

Almost surely, 216382840208 is an apocalyptic number.

It is an amenable number.

16382840208 is an abundant number, since it is smaller than the sum of its proper divisors (31985546160).

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

16382840208 is a wasteful number, since it uses less digits than its factorization.

16382840208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48758471 (or 48758465 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 16382840208 in words is "sixteen billion, three hundred eighty-two million, eight hundred forty thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 48758453 97516906 146275359 195033812 292550718 341309171 390067624 585101436 682618342 780135248 1023927513 1170202872 1365236684 2047855026 2340405744 2730473368 4095710052 5460946736 8191420104 16382840208