Search a number
-
+
494834989755906 = 232257912329864587
BaseRepresentation
bin111000010000011001011111…
…1110010010110111000000010
32101220001202121020120121012100
41300200302333302112320002
51004324334024334142111
64512232020035011230
7206141435225314542
oct16040627762267002
92356052536517170
10494834989755906
11133740382439658
12475ba404a39b16
131831597c358547
148a2a1d99d3322
153c31bd8962756
hex1c20cbfc96e02

494834989755906 has 48 divisors (see below), whose sum is σ = 1072646433424800. Its totient is φ = 164867475505344.

The previous prime is 494834989755893. The next prime is 494834989755913. The reversal of 494834989755906 is 609557989438494.

It is a happy number.

494834989755906 is a `hidden beast` number, since 4 + 9 + 4 + 8 + 3 + 4 + 9 + 8 + 9 + 7 + 5 + 590 + 6 = 666.

It is a super-3 number, since 3×4948349897559063 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 23 ways as a sum of consecutive naturals, for example, 571904545 + ... + 572769131.

It is an arithmetic number, because the mean of its divisors is an integer number (22346800696350).

Almost surely, 2494834989755906 is an apocalyptic number.

494834989755906 is an abundant number, since it is smaller than the sum of its proper divisors (577811443668894).

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

494834989755906 is a wasteful number, since it uses less digits than its factorization.

494834989755906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879503 (or 879500 counting only the distinct ones).

The product of its (nonzero) digits is 84652646400, while the sum is 90.

The spelling of 494834989755906 in words is "four hundred ninety-four trillion, eight hundred thirty-four billion, nine hundred eighty-nine million, seven hundred fifty-five thousand, nine hundred six".

Divisors: 1 2 3 6 9 18 2579 5158 7737 12329 15474 23211 24658 36987 46422 73974 110961 221922 864587 1729174 2593761 5187522 7781283 15562566 31796491 63592982 95389473 190778946 286168419 572336838 2229769873 4459539746 6689309619 10659493123 13378619238 20067928857 21318986246 31978479369 40135857714 63956958738 95935438107 191870876214 27490832764217 54981665528434 82472498292651 164944996585302 247417494877953 494834989755906