Search a number
-
+
29808063218952 = 23326434292
BaseRepresentation
bin1101100011100001110110…
…00001010000010100001000
310220112121211011210000222200
412301300323001100110020
512401333403141001302
6143221345111520200
76164363410564164
oct661607301202410
9126477734700880
1029808063218952
11955258a657677
123415004089060
131382b71799365
14750a0a10bca4
1536a59968b81c
hex1b1c3b050508

29808063218952 has 36 divisors (see below), whose sum is σ = 80730296686845. Its totient is φ = 9936005630688.

The previous prime is 29808063218909. The next prime is 29808063218957. The reversal of 29808063218952 is 25981236080892.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

29808063218952 is a `hidden beast` number, since 298 + 0 + 80 + 6 + 3 + 218 + 9 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16017876990756 + 13790186228196 = 4002234^2 + 3713514^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=3860574.

It is a self number, because there is not a number n which added to its sum of digits gives 29808063218952.

It is not an unprimeable number, because it can be changed into a prime (29808063218957) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 46005174 + ... + 46648602.

Almost surely, 229808063218952 is an apocalyptic number.

It is an amenable number.

29808063218952 is an abundant number, since it is smaller than the sum of its proper divisors (50922233467893).

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

29808063218952 is an frugal number, since it uses more digits than its factorization.

29808063218952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286870 (or 643434 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 29808063218952 in words is "twenty-nine trillion, eight hundred eight billion, sixty-three million, two hundred eighteen thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 643429 1286858 1930287 2573716 3860574 5147432 5790861 7721148 11581722 15442296 23163444 46326888 414000878041 828001756082 1242002634123 1656003512164 2484005268246 3312007024328 3726007902369 4968010536492 7452015804738 9936021072984 14904031609476 29808063218952