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427666147876 = 2211171091524057
BaseRepresentation
bin1100011100100101110…
…00111000101000100100
31111212212210022022010101
412032102320320220210
524001330013213001
6524244521433444
742616652164162
oct6162270705044
91455783268111
10427666147876
11155410433820
126aa7463b884
1331437337b46
14169b068a232
15b1d06b5a01
hex6392e38a24

427666147876 has 48 divisors (see below), whose sum is σ = 865274260032. Its totient is φ = 182790732800.

The previous prime is 427666147829. The next prime is 427666147891. The reversal of 427666147876 is 678741666724.

It is a happy number.

It is a super-2 number, since 2×4276661478762 (a number of 24 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 554040 + ... + 1078096.

It is an arithmetic number, because the mean of its divisors is an integer number (18026547084).

Almost surely, 2427666147876 is an apocalyptic number.

It is an amenable number.

427666147876 is an abundant number, since it is smaller than the sum of its proper divisors (437608112156).

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

427666147876 is a wasteful number, since it uses less digits than its factorization.

427666147876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525180 (or 525178 counting only the distinct ones).

The product of its digits is 113799168, while the sum is 64.

The spelling of 427666147876 in words is "four hundred twenty-seven billion, six hundred sixty-six million, one hundred forty-seven thousand, eight hundred seventy-six".

Divisors: 1 2 4 11 17 22 34 44 68 187 374 748 1091 2182 4364 12001 18547 24002 37094 48004 74188 204017 408034 524057 816068 1048114 2096228 5764627 8908969 11529254 17817938 23058508 35635876 97998659 195997318 391994636 571746187 1143492374 2286984748 6289208057 9719685179 12578416114 19439370358 25156832228 38878740716 106916536969 213833073938 427666147876