Search a number
-
+
29573088153 = 3741101340073
BaseRepresentation
bin11011100010101100…
…011000001110011001
32211022222222112102020
4123202230120032121
5441031202310103
621330301525053
72064564046620
oct334254301631
984288875366
1029573088153
11115a6267924
125893b73789
132a33ac033b
14160787a6b7
15b813eb753
hex6e2b18399

29573088153 has 32 divisors (see below), whose sum is σ = 46620064512. Its totient is φ = 16323456000.

The previous prime is 29573088113. The next prime is 29573088173. The reversal of 29573088153 is 35188037592.

It is a happy number.

It is not a de Polignac number, because 29573088153 - 217 = 29572957081 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 29573088096 and 29573088105.

It is not an unprimeable number, because it can be changed into a prime (29573088113) 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 31 ways as a sum of consecutive naturals, for example, 83076 + ... + 256997.

It is an arithmetic number, because the mean of its divisors is an integer number (1456877016).

Almost surely, 229573088153 is an apocalyptic number.

It is an amenable number.

29573088153 is a deficient number, since it is larger than the sum of its proper divisors (17046976359).

29573088153 is a wasteful number, since it uses less digits than its factorization.

29573088153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340225.

The product of its (nonzero) digits is 1814400, while the sum is 51.

The spelling of 29573088153 in words is "twenty-nine billion, five hundred seventy-three million, eighty-eight thousand, one hundred fifty-three".

Divisors: 1 3 7 21 41 101 123 287 303 707 861 2121 4141 12423 28987 86961 340073 1020219 2380511 7141533 13942993 34347373 41828979 97600951 103042119 240431611 292802853 721294833 1408242293 4224726879 9857696051 29573088153