Search a number
-
+
66630363306336 = 253571120686191
BaseRepresentation
bin11110010011001100101110…
…01000101101100101100000
322201220210121120200220100000
433021212113020231211200
532213132441001300321
6353413322154500000
720014612342230624
oct1711462710554540
9281823546626300
1066630363306336
111a259862044555
1275814b1a34600
132b242a729552b
141264cd9187184
157a831e348826
hex3c999722d960

66630363306336 has 144 divisors (see below), whose sum is σ = 199265454355968. Its totient is φ = 21897302313600.

The previous prime is 66630363306319. The next prime is 66630363306359. The reversal of 66630363306336 is 63360336303666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59791000 + ... + 60895191.

It is an arithmetic number, because the mean of its divisors is an integer number (1383787877472).

Almost surely, 266630363306336 is an apocalyptic number.

It is an amenable number.

66630363306336 is an abundant number, since it is smaller than the sum of its proper divisors (132635091049632).

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

66630363306336 is a wasteful number, since it uses less digits than its factorization.

66630363306336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120686287 (or 120686267 counting only the distinct ones).

The product of its (nonzero) digits is 34012224, while the sum is 54.

The spelling of 66630363306336 in words is "sixty-six trillion, six hundred thirty billion, three hundred sixty-three million, three hundred six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 71 72 81 96 108 142 144 162 213 216 243 284 288 324 426 432 486 568 639 648 852 864 972 1136 1278 1296 1704 1917 1944 2272 2556 2592 3408 3834 3888 5112 5751 6816 7668 7776 10224 11502 15336 17253 20448 23004 30672 34506 46008 61344 69012 92016 138024 184032 276048 552096 120686191 241372382 362058573 482744764 724117146 965489528 1086175719 1448234292 1930979056 2172351438 2896468584 3258527157 3861958112 4344702876 5792937168 6517054314 8568719561 8689405752 9775581471 11585874336 13034108628 17137439122 17378811504 19551162942 25706158683 26068217256 29326744413 34274878244 34757623008 39102325884 51412317366 52136434512 58653488826 68549756488 77118476049 78204651768 102824634732 104272869024 117306977652 137099512976 154236952098 156409303536 205649269464 231355428147 234613955304 274199025952 308473904196 312818607072 411298538928 462710856294 469227910608 616947808392 694066284441 822597077856 925421712588 938455821216 1233895616784 1388132568882 1850843425176 2082198853323 2467791233568 2776265137764 3701686850352 4164397706646 5552530275528 7403373700704 8328795413292 11105060551056 16657590826584 22210121102112 33315181653168 66630363306336