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12054336728560 = 2457151839169909
BaseRepresentation
bin1010111101101001111001…
…1101010110110111110000
31120200101100110012220121121
42233122132131112313300
53034444240200303220
641345404050432024
72352616462412530
oct257323635266760
946611313186547
1012054336728560
113928240911245
121428264b92614
13695946a6b589
142d960c2774c0
1515d8633a1eaa
hexaf69e756df0

12054336728560 has 160 divisors (see below), whose sum is σ = 32280833894400. Its totient is φ = 4100627635200.

The previous prime is 12054336728527. The next prime is 12054336728561. The reversal of 12054336728560 is 6582763345021.

It is a junction number, because it is equal to n+sod(n) for n = 12054336728498 and 12054336728507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12054336728561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70860886 + ... + 71030794.

It is an arithmetic number, because the mean of its divisors is an integer number (201755211840).

Almost surely, 212054336728560 is an apocalyptic number.

12054336728560 is a gapful number since it is divisible by the number (10) 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 12054336728560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16140416947200).

12054336728560 is an abundant number, since it is smaller than the sum of its proper divisors (20226497165840).

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

12054336728560 is a wasteful number, since it uses less digits than its factorization.

12054336728560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170919 (or 170913 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 52.

The spelling of 12054336728560 in words is "twelve trillion, fifty-four billion, three hundred thirty-six million, seven hundred twenty-eight thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 151 280 302 560 604 755 839 1057 1208 1510 1678 2114 2416 3020 3356 4195 4228 5285 5873 6040 6712 8390 8456 10570 11746 12080 13424 16780 16912 21140 23492 29365 33560 42280 46984 58730 67120 84560 93968 117460 126689 169909 234920 253378 339818 469840 506756 633445 679636 849545 886823 1013512 1189363 1266890 1359272 1699090 1773646 2027024 2378726 2533780 2718544 3398180 3547292 4434115 4757452 5067560 5946815 6796360 7094584 8868230 9514904 10135120 11893630 13592720 14189168 17736460 19029808 23787260 25656259 35472920 47574520 51312518 70945840 95149040 102625036 128281295 142553651 179593813 205250072 256562590 285107302 359187626 410500144 513125180 570214604 712768255 718375252 897969065 997875557 1026250360 1140429208 1425536510 1436750504 1795938130 1995751114 2052500720 2280858416 2851073020 2873501008 3591876260 3991502228 4989377785 5702146040 7183752520 7983004456 9978755570 11404292080 14367505040 15966008912 19957511140 21525601301 39915022280 43051202602 79830044560 86102405204 107628006505 150679209107 172204810408 215256013010 301358418214 344409620816 430512026020 602716836428 753396045535 861024052040 1205433672856 1506792091070 1722048104080 2410867345712 3013584182140 6027168364280 12054336728560