Search a number
-
+
293423383324392 = 233731371222475183
BaseRepresentation
bin100001010110111011111010…
…0100010000010011011101000
31102110221000001002101221021020
41002231313310202002123220
5301424422042112340032
62520020501424412440
7115543065655210146
oct10255676442023350
91373830032357236
10293423383324392
118554818139a262
1228aab501477120
13c795924a2a059
145265aa6154596
1523dc937835b2c
hex10addf48826e8

293423383324392 has 64 divisors (see below), whose sum is σ = 749034994740480. Its totient is φ = 95763815857152.

The previous prime is 293423383324369. The next prime is 293423383324429.

293423383324392 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 610997568 + ... + 611477615.

It is an arithmetic number, because the mean of its divisors is an integer number (11703671792820).

Almost surely, 2293423383324392 is an apocalyptic number.

It is an amenable number.

293423383324392 is an abundant number, since it is smaller than the sum of its proper divisors (455611611416088).

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

293423383324392 is a wasteful number, since it uses less digits than its factorization.

293423383324392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222475402 (or 1222475398 counting only the distinct ones).

The product of its digits is 120932352, while the sum is 60.

The spelling of 293423383324392 in words is "two hundred ninety-three trillion, four hundred twenty-three billion, three hundred eighty-three million, three hundred twenty-four thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 24 73 137 146 219 274 292 411 438 548 584 822 876 1096 1644 1752 3288 10001 20002 30003 40004 60006 80008 120012 240024 1222475183 2444950366 3667425549 4889900732 7334851098 9779801464 14669702196 29339404392 89240688359 167479100071 178481376718 267722065077 334958200142 356962753436 502437300213 535444130154 669916400284 713925506872 1004874600426 1070888260308 1339832800568 2009749200852 2141776520616 4019498401704 12225974305183 24451948610366 36677922915549 48903897220732 73355845831098 97807794441464 146711691662196 293423383324392