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66531168054 = 232138319317749
BaseRepresentation
bin111101111101100100…
…010000111100110110
320100201200010112000100
4331331210100330312
52042223434334204
650321453454530
74543463411661
oct757544207466
9210650115010
1066531168054
112624112330a
1210a891a1446
1363738a1880
14331204c6d8
151ae5d0da39
hexf7d910f36

66531168054 has 96 divisors (see below), whose sum is σ = 157932684000. Its totient is φ = 20118564864.

The previous prime is 66531168047. The next prime is 66531168071. The reversal of 66531168054 is 45086113566.

66531168054 is a `hidden beast` number, since 6 + 6 + 531 + 1 + 68 + 0 + 54 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3739572 + ... + 3757320.

It is an arithmetic number, because the mean of its divisors is an integer number (1645132125).

Almost surely, 266531168054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66531168054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78966342000).

66531168054 is an abundant number, since it is smaller than the sum of its proper divisors (91401515946).

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

66531168054 is a wasteful number, since it uses less digits than its factorization.

66531168054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18046 (or 18043 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 66531168054 in words is "sixty-six billion, five hundred thirty-one million, one hundred sixty-eight thousand, fifty-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 83 117 166 193 234 249 386 498 579 747 1079 1158 1494 1737 2158 2509 3237 3474 5018 6474 7527 9711 15054 16019 17749 19422 22581 32038 35498 45162 48057 53247 96114 106494 144171 159741 208247 230737 288342 319482 416494 461474 624741 692211 1249482 1384422 1473167 1874223 2076633 2946334 3425557 3748446 4153266 4419501 6851114 8839002 10276671 13258503 19151171 20553342 26517006 30830013 38302342 44532241 57453513 61660026 89064482 114907026 133596723 172360539 267193446 284321231 344721078 400790169 568642462 801580338 852963693 1705927386 2558891079 3696176003 5117782158 7392352006 11088528009 22177056018 33265584027 66531168054