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29543421924 = 223810612
BaseRepresentation
bin11011100000111011…
…001101011111100100
32211020221011100000000
4123200323031133210
5441001104000144
621323322021300
72064053641302
oct334073153744
984227140000
1029543421924
1111590545185
125886047830
132a2a904263
141603957272
15b7d9db769
hex6e0ecd7e4

29543421924 has 81 divisors (see below), whose sum is σ = 77620700521. Its totient is φ = 9838525680.

The previous prime is 29543421913. The next prime is 29543421937. The reversal of 29543421924 is 42912434592.

The square root of 29543421924 is 171882.

It is a perfect power (a square), and thus also a powerful number.

29543421924 is a `hidden beast` number, since 29 + 5 + 434 + 2 + 192 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19455228324 + 10088193600 = 139482^2 + 100440^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 29543421924.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 27844354 + ... + 27845414.

Almost surely, 229543421924 is an apocalyptic number.

29543421924 is the 171882-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29543421924

29543421924 is an abundant number, since it is smaller than the sum of its proper divisors (48077278597).

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

29543421924 is an frugal number, since it uses more digits than its factorization.

29543421924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2150 (or 1066 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 29543421924 in words is "twenty-nine billion, five hundred forty-three million, four hundred twenty-one thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1061 1458 2122 2187 2916 3183 4244 4374 6366 6561 8748 9549 12732 13122 19098 26244 28647 38196 57294 85941 114588 171882 257823 343764 515646 773469 1031292 1125721 1546938 2251442 2320407 3093876 3377163 4502884 4640814 6754326 6961221 9281628 10131489 13508652 13922442 20262978 27844884 30394467 40525956 60788934 91183401 121577868 182366802 273550203 364733604 547100406 820650609 1094200812 1641301218 2461951827 3282602436 4923903654 7385855481 9847807308 14771710962 29543421924