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29839492032 = 2637181122663
BaseRepresentation
bin11011110010100100…
…101000001111000000
32212000120021020211120
4123302210220033000
5442102402221112
621412535512240
72104310332410
oct336244501700
985016236746
1029839492032
1111722685019
125949228680
132a7705737c
141630dc6640
15b999c0e8c
hex6f29283c0

29839492032 has 112 divisors (see below), whose sum is σ = 90728182272. Its totient is φ = 8478397440.

The previous prime is 29839492027. The next prime is 29839492057. The reversal of 29839492032 is 23029493892.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181933 + ... + 304595.

It is an arithmetic number, because the mean of its divisors is an integer number (810073056).

Almost surely, 229839492032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29839492032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45364091136).

29839492032 is an abundant number, since it is smaller than the sum of its proper divisors (60888690240).

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

29839492032 is a wasteful number, since it uses less digits than its factorization.

29839492032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122866 (or 122856 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 51.

The spelling of 29839492032 in words is "twenty-nine billion, eight hundred thirty-nine million, four hundred ninety-two thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 181 192 224 336 362 448 543 672 724 1086 1267 1344 1448 2172 2534 2896 3801 4344 5068 5792 7602 8688 10136 11584 15204 17376 20272 30408 34752 40544 60816 81088 121632 122663 243264 245326 367989 490652 735978 858641 981304 1471956 1717282 1962608 2575923 2943912 3434564 3925216 5151846 5887824 6869128 7850432 10303692 11775648 13738256 20607384 22202003 23551296 27476512 41214768 44404006 54953024 66606009 82429536 88808012 133212018 155414021 164859072 177616024 266424036 310828042 355232048 466242063 532848072 621656084 710464096 932484126 1065696144 1243312168 1420928192 1864968252 2131392288 2486624336 3729936504 4262784576 4973248672 7459873008 9946497344 14919746016 29839492032