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482806576816065 = 325433735571200959
BaseRepresentation
bin110110111000111000010101…
…0100000011001111111000001
32100022110212011110112121021200
41231301300222200121333001
51001240300332131103230
64430502140205011413
7203460424025300655
oct15561605240317701
92308425143477250
10482806576816065
1112a923134964597
1246197195853b69
1317952607328928
148731d6a692a65
153ac3d9140d160
hex1b71c2a819fc1

482806576816065 has 96 divisors (see below), whose sum is σ = 860164714506240. Its totient is φ = 250383717416448.

The previous prime is 482806576816051. The next prime is 482806576816147. The reversal of 482806576816065 is 560618675608284.

482806576816065 is a `hidden beast` number, since 4 + 8 + 2 + 8 + 0 + 6 + 5 + 7 + 6 + 8 + 1 + 606 + 5 = 666.

It is not a de Polignac number, because 482806576816065 - 222 = 482806572621761 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 482806576815984 and 482806576816002.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 401417056 + ... + 402618014.

It is an arithmetic number, because the mean of its divisors is an integer number (8960049109440).

Almost surely, 2482806576816065 is an apocalyptic number.

482806576816065 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

482806576816065 is a deficient number, since it is larger than the sum of its proper divisors (377358137690175).

482806576816065 is a wasteful number, since it uses less digits than its factorization.

482806576816065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201943 (or 1201940 counting only the distinct ones).

The product of its (nonzero) digits is 928972800, while the sum is 72.

The spelling of 482806576816065 in words is "four hundred eighty-two trillion, eight hundred six billion, five hundred seventy-six million, eight hundred sixteen thousand, sixty-five".

Divisors: 1 3 5 9 15 43 45 129 215 373 387 557 645 1119 1671 1865 1935 2785 3357 5013 5595 8355 16039 16785 23951 25065 48117 71853 80195 119755 144351 207761 215559 240585 359265 623283 721755 1038805 1077795 1200959 1869849 3116415 3602877 6004795 8933723 9349245 10808631 18014385 26801169 44668615 51641237 54043155 80403507 134005845 154923711 258206185 402017535 447957707 464771133 668934163 774618555 1343873121 2006802489 2239788535 2323855665 3344670815 4031619363 6020407467 6719365605 10034012445 19262181401 20158096815 28764169009 30102037335 57786544203 86292507027 96310907005 143820845045 173359632609 249512442799 258877521081 288932721015 431462535135 748537328397 866798163045 1247562213995 1294387605405 2245611985191 3742686641985 10729035040357 11228059925955 32187105121071 53645175201785 96561315363213 160935525605355 482806576816065