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29483569632 = 2531138217307
BaseRepresentation
bin11011011101010110…
…111001000111100000
32211002202112112002110
4123131112321013200
5440340243212012
621313343115320
72062426130646
oct333526710740
984082475073
1029483569632
111155a785280
125869ba2b40
132a1b3a95ba
1415d9a17196
15b7861773c
hex6dd5b91e0

29483569632 has 96 divisors (see below), whose sum is σ = 84463876224. Its totient is φ = 8930854400.

The previous prime is 29483569603. The next prime is 29483569639. The reversal of 29483569632 is 23696538492.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29483569639) 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 15 ways as a sum of consecutive naturals, for example, 4031323 + ... + 4038629.

It is an arithmetic number, because the mean of its divisors is an integer number (879832044).

Almost surely, 229483569632 is an apocalyptic number.

29483569632 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

29483569632 is an abundant number, since it is smaller than the sum of its proper divisors (54980306592).

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

29483569632 is a wasteful number, since it uses less digits than its factorization.

29483569632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11152 (or 11144 counting only the distinct ones).

The product of its digits is 16796160, while the sum is 57.

The spelling of 29483569632 in words is "twenty-nine billion, four hundred eighty-three million, five hundred sixty-nine thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 3821 7307 7642 11463 14614 15284 21921 22926 29228 30568 42031 43842 45852 58456 61136 80377 84062 87684 91704 116912 122272 126093 160754 168124 175368 183408 233824 241131 252186 321508 336248 350736 366816 482262 504372 643016 672496 701472 964524 1008744 1286032 1344992 1929048 2017488 2572064 3858096 4034976 7716192 27920047 55840094 83760141 111680188 167520282 223360376 307120517 335040564 446720752 614241034 670081128 893441504 921361551 1228482068 1340162256 1842723102 2456964136 2680324512 3685446204 4913928272 7370892408 9827856544 14741784816 29483569632