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465276230505 = 325137727103811
BaseRepresentation
bin1101100010101001001…
…11111101101101101001
31122110221220022110022200
412301110213331231221
530110341203334010
6553424524210413
745420656463642
oct6612447755551
91573856273280
10465276230505
1116a360336539
1276210099a09
1334b4c221ac8
141873b6a06c9
15c182468cc0
hex6c549fdb69

465276230505 has 48 divisors (see below), whose sum is σ = 813490763904. Its totient is φ = 245994819840.

The previous prime is 465276230467. The next prime is 465276230513. The reversal of 465276230505 is 505032672564.

465276230505 is a `hidden beast` number, since 4 + 6 + 52 + 7 + 62 + 30 + 505 = 666.

It is not a de Polignac number, because 465276230505 - 235 = 430916492137 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 4430050 + ... + 4533860.

It is an arithmetic number, because the mean of its divisors is an integer number (16947724248).

Almost surely, 2465276230505 is an apocalyptic number.

465276230505 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

465276230505 is a deficient number, since it is larger than the sum of its proper divisors (348214533399).

465276230505 is a wasteful number, since it uses less digits than its factorization.

465276230505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104686 (or 104683 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The spelling of 465276230505 in words is "four hundred sixty-five billion, two hundred seventy-six million, two hundred thirty thousand, five hundred five".

Divisors: 1 3 5 9 15 45 137 411 685 727 1233 2055 2181 3635 6165 6543 10905 32715 99599 103811 298797 311433 497995 519055 896391 934299 1493985 1557165 4481955 4671495 14222107 42666321 71110535 75470597 127998963 213331605 226411791 377352985 639994815 679235373 1132058955 3396176865 10339471789 31018415367 51697358945 93055246101 155092076835 465276230505