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18316653166656 = 263413271792693
BaseRepresentation
bin1000010101000101011011…
…00110110000000001000000
32101212001111001102012110000
410022202231212300001000
54400100001202313111
6102542315421240000
73600222512022405
oct412425546600100
971761431365400
1018316653166656
11592205a2200a9
122079a82103000
13a2b339a56940
144747605082ac
1521b6d157dc56
hex10a8ad9b0040

18316653166656 has 140 divisors (see below), whose sum is σ = 58472936601772. Its totient is φ = 5635893261312.

The previous prime is 18316653166589. The next prime is 18316653166657. The reversal of 18316653166656 is 65666135661381.

It can be written as a sum of positive squares in 2 ways, for example, as 11995250389056 + 6321402777600 = 3463416^2 + 2514240^2 .

It is a junction number, because it is equal to n+sod(n) for n = 18316653166593 and 18316653166602.

It is not an unprimeable number, because it can be changed into a prime (18316653166657) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 135828955 + ... + 135963738.

Almost surely, 218316653166656 is an apocalyptic number.

18316653166656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

18316653166656 is an abundant number, since it is smaller than the sum of its proper divisors (40156283435116).

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

18316653166656 is a wasteful number, since it uses less digits than its factorization.

18316653166656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271792730 (or 271792711 counting only the distinct ones).

The product of its digits is 83980800, while the sum is 63.

The spelling of 18316653166656 in words is "eighteen trillion, three hundred sixteen billion, six hundred fifty-three million, one hundred sixty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 144 156 162 192 208 216 234 288 312 324 351 416 432 468 576 624 648 702 832 864 936 1053 1248 1296 1404 1728 1872 2106 2496 2592 2808 3744 4212 5184 5616 7488 8424 11232 16848 22464 33696 67392 271792693 543585386 815378079 1087170772 1630756158 2174341544 2446134237 3261512316 3533305009 4348683088 4892268474 6523024632 7066610018 7338402711 8697366176 9784536948 10599915027 13046049264 14133220036 14676805422 17394732352 19569073896 21199830054 22015208133 26092098528 28266440072 29353610844 31799745081 39138147792 42399660108 44030416266 52184197056 56532880144 58707221688 63599490162 78276295584 84799320216 88060832532 95399235243 113065760288 117414443376 127198980324 156552591168 169598640432 176121665064 190798470486 226131520576 234828886752 254397960648 286197705729 339197280864 352243330128 381596940972 469657773504 508795921296 572395411458 678394561728 704486660256 763193881944 1017591842592 1144790822916 1408973320512 1526387763888 2035183685184 2289581645832 3052775527776 4579163291664 6105551055552 9158326583328 18316653166656