Search a number
-
+
355687428096032 = 25234736591020293
BaseRepresentation
bin101000011011111101110111…
…0110011011000000000100000
31201122101101102102110111001012
41100313323232303120000200
5333110040323043033112
63300252314304000052
7134630366022322544
oct12067735663300040
91648341372414035
10355687428096032
11a337321145418a
1233a86734000028
1312361246885046
1463b951315ba24
152b1c3a6209022
hex1437eeecd8020

355687428096032 has 48 divisors (see below), whose sum is σ = 730707953532480. Its totient is φ = 170110852783872.

The previous prime is 355687428096031. The next prime is 355687428096053. The reversal of 355687428096032 is 230690824786553.

It is a super-2 number, since 2×3556874280960322 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (355687428096031) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 348102878 + ... + 349123170.

It is an arithmetic number, because the mean of its divisors is an integer number (15223082365260).

Almost surely, 2355687428096032 is an apocalyptic number.

355687428096032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

355687428096032 is an abundant number, since it is smaller than the sum of its proper divisors (375020525436448).

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

355687428096032 is a wasteful number, since it uses less digits than its factorization.

355687428096032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493985 (or 1493977 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 68.

The spelling of 355687428096032 in words is "three hundred fifty-five trillion, six hundred eighty-seven billion, four hundred twenty-eight million, ninety-six thousand, thirty-two".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 736 473659 947318 1020293 1894636 2040586 3789272 4081172 7578544 8162344 10894157 15157088 16324688 21788314 23466739 32649376 43576628 46933478 87153256 93866956 174306512 187733912 348613024 375467824 750935648 483270962087 966541924174 1933083848348 3866167696696 7732335393392 11115232128001 15464670786784 22230464256002 44460928512004 88921857024008 177843714048016 355687428096032