Search a number
-
+
29346924441 = 3175919514999
BaseRepresentation
bin11011010101001101…
…101000011110011001
32210202020102020010110
4123111031220132121
5440100303040231
621252022234533
72056146512322
oct332515503631
983666366113
1029346924441
111149a63476a
125830285a49
1329c8ca5263
1415c5807449
15b6b625046
hex6d5368799

29346924441 has 32 divisors (see below), whose sum is σ = 42163200000. Its totient is φ = 18088761600.

The previous prime is 29346924427. The next prime is 29346924469. The reversal of 29346924441 is 14442964392.

It is a happy number.

It is not a de Polignac number, because 29346924441 - 26 = 29346924377 is a prime.

It is a super-3 number, since 3×293469244413 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (29346924401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5868060 + ... + 5873058.

It is an arithmetic number, because the mean of its divisors is an integer number (1317600000).

Almost surely, 229346924441 is an apocalyptic number.

It is an amenable number.

29346924441 is a deficient number, since it is larger than the sum of its proper divisors (12816275559).

29346924441 is a wasteful number, since it uses less digits than its factorization.

29346924441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7029.

The product of its digits is 1492992, while the sum is 48.

The spelling of 29346924441 in words is "twenty-nine billion, three hundred forty-six million, nine hundred twenty-four thousand, four hundred forty-one".

Divisors: 1 3 17 51 59 177 1003 1951 3009 4999 5853 14997 33167 84983 99501 115109 254949 294941 345327 884823 1956853 5013997 5870559 9753049 15041991 29259147 165801833 497405499 575429891 1726289673 9782308147 29346924441