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427810243464 = 23342321248017
BaseRepresentation
bin1100011100110110111…
…10100100001110001000
31111220020211110010010000
412032123132210032020
524002123410242324
6524311110123000
742623352033012
oct6163336441610
91456224403100
10427810243464
1115548480298a
126aab4950460
133145b14a3c6
14169c58791b2
15b1dd17a9c9
hex639b7a4388

427810243464 has 120 divisors (see below), whose sum is σ = 1252629426510. Its totient is φ = 136403156736.

The previous prime is 427810243451. The next prime is 427810243573. The reversal of 427810243464 is 464342018724.

427810243464 is a `hidden beast` number, since 4 + 278 + 10 + 24 + 346 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 384099978564 + 43710264900 = 619758^2 + 209070^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 281217 + ... + 966800.

Almost surely, 2427810243464 is an apocalyptic number.

It is an amenable number.

427810243464 is an abundant number, since it is smaller than the sum of its proper divisors (824819183046).

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

427810243464 is a wasteful number, since it uses less digits than its factorization.

427810243464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248081 (or 1248045 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 427810243464 in words is "four hundred twenty-seven billion, eight hundred ten million, two hundred forty-three thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 81 92 108 138 162 184 207 216 276 324 414 529 552 621 648 828 1058 1242 1587 1656 1863 2116 2484 3174 3726 4232 4761 4968 6348 7452 9522 12696 14283 14904 19044 28566 38088 42849 57132 85698 114264 171396 342792 1248017 2496034 3744051 4992068 7488102 9984136 11232153 14976204 22464306 28704391 29952408 33696459 44928612 57408782 67392918 86113173 89857224 101089377 114817564 134785836 172226346 202178754 229635128 258339519 269571672 344452692 404357508 516679038 660200993 688905384 775018557 808715016 1033358076 1320401986 1550037114 1980602979 2066716152 2325055671 2640803972 3100074228 3961205958 4650111342 5281607944 5941808937 6200148456 7922411916 9300222684 11883617874 15844823832 17825426811 18600445368 23767235748 35650853622 47534471496 53476280433 71301707244 106952560866 142603414488 213905121732 427810243464