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12066765477252 = 223171571600723537
BaseRepresentation
bin1010111110011000001101…
…0001010001010110000100
31120201120102122002202121020
42233212003101101112010
53040200213430233002
641355221233551140
72353536461135463
oct257460321212604
946646378082536
1012066765477252
113932539594082
12142a7534154b0
13696b7799bc45
142da06abc09da
1515dd3e5b42bc
hexaf983451584

12066765477252 has 96 divisors (see below), whose sum is σ = 30005043280128. Its totient is φ = 3761144684544.

The previous prime is 12066765477227. The next prime is 12066765477281. The reversal of 12066765477252 is 25277456766021.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 512660428 + ... + 512683964.

It is an arithmetic number, because the mean of its divisors is an integer number (312552534168).

Almost surely, 212066765477252 is an apocalyptic number.

12066765477252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12066765477252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15002521640064).

12066765477252 is an abundant number, since it is smaller than the sum of its proper divisors (17938277802876).

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

12066765477252 is a wasteful number, since it uses less digits than its factorization.

12066765477252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39725 (or 39723 counting only the distinct ones).

The product of its (nonzero) digits is 59270400, while the sum is 60.

The spelling of 12066765477252 in words is "twelve trillion, sixty-six billion, seven hundred sixty-five million, four hundred seventy-seven thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 157 204 314 471 628 942 1884 2669 5338 8007 10676 16007 16014 23537 32014 32028 47074 48021 64028 70611 94148 96042 141222 192084 272119 282444 400129 544238 800258 816357 1088476 1200387 1600516 1632714 2400774 2513099 3265428 3695309 4801548 5026198 7390618 7539297 10052396 11085927 14781236 15078594 22171854 30157188 42722683 44343708 62820253 85445366 125640506 128168049 170890732 188460759 251281012 256336098 376756759 376921518 512672196 753513518 753843036 1130270277 1507027036 2260540554 4521081108 6404864903 12809729806 19214594709 25619459612 38429189418 59150811163 76858378836 118301622326 177452433489 236603244652 354904866978 709809733956 1005563789771 2011127579542 3016691369313 4022255159084 6033382738626 12066765477252