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8642313954 = 23629204397
BaseRepresentation
bin10000000110001111…
…10011111011100010
3211022022001001000000
420003013303323202
5120144413021304
63545322440430
7424110312411
oct100307637342
924268031000
108642313954
1137353a742a
121812363116
13a79635851
145bdb07478
15358ac5939
hex2031f3ee2

8642313954 has 56 divisors (see below), whose sum is σ = 20106631260. Its totient is φ = 2781420768.

The previous prime is 8642313949. The next prime is 8642314007. The reversal of 8642313954 is 4593132468.

8642313954 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7914771225 + 727542729 = 88965^2 + 26973^2 .

It is a super-3 number, since 3×86423139543 (a number of 31 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 (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 59917 + ... + 144480.

Almost surely, 28642313954 is an apocalyptic number.

8642313954 is an abundant number, since it is smaller than the sum of its proper divisors (11464317306).

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

8642313954 is a wasteful number, since it uses less digits than its factorization.

8642313954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204446 (or 204431 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 8642313954 is about 92964.0465664011. The cubic root of 8642313954 is about 2052.1543051092.

The spelling of 8642313954 in words is "eight billion, six hundred forty-two million, three hundred thirteen thousand, nine hundred fifty-four".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 162 174 243 261 486 522 729 783 1458 1566 2349 4698 7047 14094 21141 42282 204397 408794 613191 1226382 1839573 3679146 5518719 5927513 11037438 11855026 16556157 17782539 33112314 35565078 49668471 53347617 99336942 106695234 149005413 160042851 298010826 320085702 480128553 960257106 1440385659 2880771318 4321156977 8642313954