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48066306066 = 234794618147
BaseRepresentation
bin101100110000111110…
…011010000000010010
311121001211020100020000
4230300332122000102
51241414433243231
634025323430430
73321061601052
oct546076320022
9147054210200
1048066306066
11194261a4199
129395385416
1346c026ca2c
14247d9b5562
1513b4c2d6e6
hexb30f9a012

48066306066 has 80 divisors (see below), whose sum is σ = 109317479040. Its totient is φ = 15783037920.

The previous prime is 48066306059. The next prime is 48066306083. The reversal of 48066306066 is 66060366084.

48066306066 is a `hidden beast` number, since 4 + 8 + 0 + 6 + 6 + 30 + 606 + 6 = 666.

It is a super-3 number, since 3×480663060663 (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5895805 + ... + 5903951.

It is an arithmetic number, because the mean of its divisors is an integer number (1366468488).

Almost surely, 248066306066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48066306066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54658739520).

48066306066 is an abundant number, since it is smaller than the sum of its proper divisors (61251172974).

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

48066306066 is a wasteful number, since it uses less digits than its factorization.

48066306066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8701 (or 8692 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 48066306066 in words is "forty-eight billion, sixty-six million, three hundred six thousand, sixty-six".

Divisors: 1 2 3 6 9 18 27 54 79 81 158 162 237 461 474 711 922 1383 1422 2133 2766 4149 4266 6399 8147 8298 12447 12798 16294 24441 24894 36419 37341 48882 72838 73323 74682 109257 146646 218514 219969 327771 439938 643613 655542 659907 983313 1287226 1319814 1930839 1966626 2949939 3755767 3861678 5792517 5899878 7511534 11267301 11585034 17377551 22534602 33801903 34755102 52132653 67603806 101405709 104265306 202811418 296705593 304217127 593411186 608434254 890116779 1780233558 2670350337 5340700674 8011051011 16022102022 24033153033 48066306066