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460608680223 = 33194273210127
BaseRepresentation
bin1101011001111100110…
…10101011000100011111
31122000220121111100001000
412230332122223010133
530021311310231343
6551333430321343
745164212116426
oct6547632530437
91560817440030
10460608680223
1116838565696a
1275328ab9253
1334587213033
141841781c2bd
15beac7d0ed3
hex6b3e6ab11f

460608680223 has 32 divisors (see below), whose sum is σ = 718469657600. Its totient is φ = 290841280128.

The previous prime is 460608680221. The next prime is 460608680263. The reversal of 460608680223 is 322086806064.

It is not a de Polignac number, because 460608680223 - 21 = 460608680221 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460608680221) 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 31 ways as a sum of consecutive naturals, for example, 2086986 + ... + 2297112.

It is an arithmetic number, because the mean of its divisors is an integer number (22452176800).

Almost surely, 2460608680223 is an apocalyptic number.

460608680223 is a deficient number, since it is larger than the sum of its proper divisors (257860977377).

460608680223 is a wasteful number, since it uses less digits than its factorization.

460608680223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214428 (or 214422 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 460608680223 in words is "four hundred sixty billion, six hundred eight million, six hundred eighty thousand, two hundred twenty-three".

Divisors: 1 3 9 19 27 57 171 513 4273 12819 38457 81187 115371 210127 243561 630381 730683 1891143 2192049 3992413 5673429 11977239 35931717 107795151 897872671 2693618013 8080854039 17059580749 24242562117 51178742247 153536226741 460608680223