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27954355345972 = 22112713132598971
BaseRepresentation
bin1100101101100101000010…
…11010111001101000110100
310122222102002002101020101021
412112302201122321220310
512131001004432032342
6135242015322510524
75613430661623066
oct626624132715064
9118872062336337
1027954355345972
1189a8414908100
1231758a9065444
13127a113565173
146c8dd87bd736
153372549be567
hex196ca16b9a34

27954355345972 has 72 divisors (see below), whose sum is σ = 54703287406656. Its totient is φ = 12487531056000.

The previous prime is 27954355345957. The next prime is 27954355345981.

27954355345972 is nontrivially palindromic in base 10.

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, 9456447 + ... + 12055417.

It is an arithmetic number, because the mean of its divisors is an integer number (759767880648).

Almost surely, 227954355345972 is an apocalyptic number.

27954355345972 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

27954355345972 is a deficient number, since it is larger than the sum of its proper divisors (26748932060684).

27954355345972 is a wasteful number, since it uses less digits than its factorization.

27954355345972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2599381 (or 2599368 counting only the distinct ones).

The product of its digits is 1428840000, while the sum is 70.

The spelling of 27954355345972 in words is "twenty-seven trillion, nine hundred fifty-four billion, three hundred fifty-five million, three hundred forty-five thousand, nine hundred seventy-two".

Divisors: 1 2 4 11 22 44 71 121 142 242 284 313 484 626 781 1252 1562 3124 3443 6886 8591 13772 17182 22223 34364 37873 44446 75746 88892 151492 244453 488906 977812 2598971 2688983 5197942 5377966 10395884 10755932 28588681 57177362 114354724 184526941 314475491 369053882 628950982 738107764 813477923 1257901964 1626955846 2029796351 3253911692 4059592702 8119185404 8948257153 17896514306 22327759861 35793028612 44655519722 57756932533 89311039444 98430828683 115513865066 196861657366 231027730132 393723314732 635326257863 1270652515726 2541305031452 6988588836493 13977177672986 27954355345972