Search a number
-
+
485240567272767 = 32173794547906601
BaseRepresentation
bin110111001010100101101111…
…1101001001001010100111111
32100122002112201102222221010100
41232111023133221021110333
51002100140140210212032
64440004234511412143
7204131321415644325
oct15625133751112477
92318075642887110
10485240567272767
111306814070369a9
124650aa58224053
1317a9acb22230b7
1487b7aa96dbd15
153b17349dea97c
hex1b952dfa4953f

485240567272767 has 48 divisors (see below), whose sum is σ = 762199173227232. Its totient is φ = 296232434841600.

The previous prime is 485240567272751. The next prime is 485240567272793. The reversal of 485240567272767 is 767272765042584.

485240567272767 is a `hidden beast` number, since 4 + 8 + 5 + 240 + 56 + 7 + 272 + 7 + 67 = 666.

It is not a de Polignac number, because 485240567272767 - 24 = 485240567272751 is a prime.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 485240567272695 and 485240567272704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (485240567252767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 534777267 + ... + 535683867.

It is an arithmetic number, because the mean of its divisors is an integer number (15879149442234).

Almost surely, 2485240567272767 is an apocalyptic number.

485240567272767 is a deficient number, since it is larger than the sum of its proper divisors (276958605954465).

485240567272767 is a wasteful number, since it uses less digits than its factorization.

485240567272767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001208 (or 1001205 counting only the distinct ones).

The product of its (nonzero) digits is 2212761600, while the sum is 72.

The spelling of 485240567272767 in words is "four hundred eighty-five trillion, two hundred forty billion, five hundred sixty-seven million, two hundred seventy-two thousand, seven hundred sixty-seven".

Divisors: 1 3 9 17 37 51 111 153 333 629 1887 5661 94547 283641 850923 906601 1607299 2719803 3498239 4821897 8159409 10494717 14465691 15412217 31484151 33544237 46236651 59470063 100632711 138709953 178410189 301898133 535230567 570252029 1710756087 5132268261 85716404747 257149214241 771447642723 1457178880699 3171506975639 4371536642097 9514520926917 13114609926291 28543562780751 53915618585863 161746855757589 485240567272767