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12019509228264 = 23319101463563663
BaseRepresentation
bin1010111011101000001010…
…0100111111001011101000
31120120001110021010120210020
42232322002210333023220
53033411423330301024
641321404124320440
72350244433506016
oct256720244771350
946501407116706
1012019509228264
11391449967a84a
1214215653a3120
136925864c3935
142d7a66a318b6
1515c9c5a47979
hexaee8293f2e8

12019509228264 has 128 divisors (see below), whose sum is σ = 32012507750400. Its totient is φ = 3749930553600.

The previous prime is 12019509228211. The next prime is 12019509228277. The reversal of 12019509228264 is 46282290591021.

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 31 ways as a sum of consecutive naturals, for example, 21042097 + ... + 21605759.

It is an arithmetic number, because the mean of its divisors is an integer number (250097716800).

Almost surely, 212019509228264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12019509228264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16006253875200).

12019509228264 is an abundant number, since it is smaller than the sum of its proper divisors (19992998522136).

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

12019509228264 is a wasteful number, since it uses less digits than its factorization.

12019509228264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564255 (or 564251 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The spelling of 12019509228264 in words is "twelve trillion, nineteen billion, five hundred nine million, two hundred twenty-eight thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 101 114 152 202 228 303 404 456 463 606 808 926 1212 1389 1852 1919 2424 2778 3704 3838 5556 5757 7676 8797 11112 11514 15352 17594 23028 26391 35188 46056 46763 52782 70376 93526 105564 140289 187052 211128 280578 374104 561156 563663 888497 1122312 1127326 1690989 1776994 2254652 2665491 3381978 3553988 4509304 5330982 6763956 7107976 10661964 10709597 13527912 21323928 21419194 32128791 42838388 56929963 64257582 85676776 113859926 128515164 170789889 227719852 257030328 260975969 341579778 455439704 521951938 683159556 782927907 1043903876 1081669297 1366319112 1565855814 2087807752 2163338594 3131711628 3245007891 4326677188 4958543411 6263423256 6490015782 8653354376 9917086822 12980031564 14875630233 19834173644 25960063128 26358572869 29751260466 39668347288 52717145738 59502520932 79075718607 105434291476 119005041864 158151437214 210868582952 316302874428 500812884511 632605748856 1001625769022 1502438653533 2003251538044 3004877307066 4006503076088 6009754614132 12019509228264