Search a number
-
+
29440005047348 = 22710091567664997
BaseRepresentation
bin1101011000110100010010…
…00010110000010000110100
310212020102210120101200011012
412230122021002300100310
512324321112243003343
6142340315051531352
76125653525003250
oct654321102602064
9125212716350135
1029440005047348
119420488393765
123375806159b58
1313572469107bc
1473ac92229260
15360c070dd718
hex1ac6890b0434

29440005047348 has 48 divisors (see below), whose sum is σ = 58976065827840. Its totient is φ = 12596577670656.

The previous prime is 29440005047339. The next prime is 29440005047351. The reversal of 29440005047348 is 84374050004492.

It is a junction number, because it is equal to n+sod(n) for n = 29440005047296 and 29440005047305.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 43938386 + ... + 44603382.

It is an arithmetic number, because the mean of its divisors is an integer number (1228668038080).

Almost surely, 229440005047348 is an apocalyptic number.

29440005047348 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

29440005047348 is an abundant number, since it is smaller than the sum of its proper divisors (29536060780492).

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

29440005047348 is a wasteful number, since it uses less digits than its factorization.

29440005047348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667584 (or 667582 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 50.

The spelling of 29440005047348 in words is "twenty-nine trillion, four hundred forty billion, five million, forty-seven thousand, three hundred forty-eight".

Divisors: 1 2 4 7 14 28 1009 1567 2018 3134 4036 6268 7063 10969 14126 21938 28252 43876 664997 1329994 1581103 2659988 3162206 4654979 6324412 9309958 11067721 18619916 22135442 44270884 670981973 1042050299 1341963946 2084100598 2683927892 4168201196 4696873811 7294352093 9393747622 14588704186 18787495244 29177408372 1051428751691 2102857503382 4205715006764 7360001261837 14720002523674 29440005047348