Search a number
-
+
355615145506332 = 223244922000442063
BaseRepresentation
bin101000011011011100001101…
…0011011001011011000011100
31201122010110211221000110202100
41100312320122123023120130
5333102344304222200312
63300155201553125100
7134622226550413455
oct12066703233133034
91648113757013670
10355615145506332
11a3345599852748
1233a74720859790
131235749757ccca
1463b5c1732a12c
152b1a5755155dc
hex1436e1a6cb61c

355615145506332 has 36 divisors (see below), whose sum is σ = 900918102520800. Its totient is φ = 118274376525312.

The previous prime is 355615145506331. The next prime is 355615145506349. The reversal of 355615145506332 is 233605541516553.

355615145506332 is a `hidden beast` number, since 3 + 5 + 5 + 6 + 1 + 51 + 4 + 550 + 6 + 3 + 32 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (355615145506331) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11000204868 + ... + 11000237195.

It is an arithmetic number, because the mean of its divisors is an integer number (25025502847800).

Almost surely, 2355615145506332 is an apocalyptic number.

It is an amenable number.

355615145506332 is an abundant number, since it is smaller than the sum of its proper divisors (545302957014468).

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

355615145506332 is a wasteful number, since it uses less digits than its factorization.

355615145506332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22000442522 (or 22000442517 counting only the distinct ones).

The product of its (nonzero) digits is 24300000, while the sum is 54.

The spelling of 355615145506332 in words is "three hundred fifty-five trillion, six hundred fifteen billion, one hundred forty-five million, five hundred six thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 449 898 1347 1796 2694 4041 5388 8082 16164 22000442063 44000884126 66001326189 88001768252 132002652378 198003978567 264005304756 396007957134 792015914268 9878198486287 19756396972574 29634595458861 39512793945148 59269190917722 88903786376583 118538381835444 177807572753166 355615145506332