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61605223131056 = 241117188910899937
BaseRepresentation
bin11100000000111100101010…
…11100001110011110110000
322002010101211220220112202212
432000132111130032132300
531033314444110143211
6335005014313031252
715655554600424013
oct1600362534163660
9262111756815685
1061605223131056
11186a16a045a230
126aab6086b5528
13284b469928a07
14112d9cc9a937a
1571c75e9b638b
hex38079570e7b0

61605223131056 has 80 divisors (see below), whose sum is σ = 137943511362720. Its totient is φ = 26341221335040.

The previous prime is 61605223131047. The next prime is 61605223131077. The reversal of 61605223131056 is 65013132250616.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201920 + ... + 11101856.

It is an arithmetic number, because the mean of its divisors is an integer number (1724293892034).

Almost surely, 261605223131056 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 61605223131056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68971755681360).

61605223131056 is an abundant number, since it is smaller than the sum of its proper divisors (76338288231664).

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

61605223131056 is a wasteful number, since it uses less digits than its factorization.

61605223131056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10901862 (or 10901856 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 41.

The spelling of 61605223131056 in words is "sixty-one trillion, six hundred five billion, two hundred twenty-three million, one hundred thirty-one thousand, fifty-six".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 136 176 187 272 374 748 1496 1889 2992 3778 7556 15112 20779 30224 32113 41558 64226 83116 128452 166232 256904 332464 353243 513808 706486 1412972 2825944 5651888 10899937 21799874 43599748 87199496 119899307 174398992 185298929 239798614 370597858 479597228 741195716 959194456 1482391432 1918388912 2038288219 2964782864 4076576438 8153152876 16306305752 20589980993 32612611504 41179961986 82359923972 164719847944 226489790923 329439695888 350029676881 452979581846 700059353762 905959163692 1400118707524 1811918327384 2800237415048 3623836654768 3850326445691 5600474830096 7700652891382 15401305782764 30802611565528 61605223131056