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16949228331 = 3721923110303
BaseRepresentation
bin11111100100100000…
…01011001100101011
31121202012222000021110
433302100023030223
5234203000301311
611441504441403
71140006030600
oct176220131453
947665860243
1016949228331
117208441122
123350319263
1317a16279b9
14b6b0646a7
15692ee88a6
hex3f240b32b

16949228331 has 72 divisors (see below), whose sum is σ = 28642811904. Its totient is φ = 8878675680.

The previous prime is 16949228299. The next prime is 16949228341. The reversal of 16949228331 is 13382294961.

16949228331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 16949228331 - 25 = 16949228299 is a prime.

It is a super-2 number, since 2×169492283312 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16949228341) 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 71 ways as a sum of consecutive naturals, for example, 1639926 + ... + 1650228.

It is an arithmetic number, because the mean of its divisors is an integer number (397816832).

Almost surely, 216949228331 is an apocalyptic number.

16949228331 is a deficient number, since it is larger than the sum of its proper divisors (11693583573).

16949228331 is a wasteful number, since it uses less digits than its factorization.

16949228331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10389 (or 10363 counting only the distinct ones).

The product of its digits is 559872, while the sum is 48.

The spelling of 16949228331 in words is "sixteen billion, nine hundred forty-nine million, two hundred twenty-eight thousand, three hundred thirty-one".

Divisors: 1 3 7 19 21 31 49 57 93 133 147 217 361 399 589 651 931 1083 1519 1767 2527 2793 4123 4557 7581 10303 11191 12369 17689 28861 30909 33573 53067 72121 78337 86583 195757 216363 235011 319393 504847 548359 587271 958179 1370299 1514541 1645077 2235751 3719383 4110897 6068467 6707253 9592093 11158149 15650257 18205401 26035681 28776279 42479269 46950771 78107043 115300873 127437807 182249767 297354883 345902619 546749301 807106111 892064649 2421318333 5649742777 16949228331