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1066080003744 = 25376732357249
BaseRepresentation
bin11111000001101110101…
…00011110011010100000
310202220201221121102102010
433200313110132122200
5114431312440104434
62133430030152520
7140010312342120
oct17406724363240
93686657542363
101066080003744
11381138407838
12152744052740
13796b9553782
14398545b2c80
151cae7b569e9
hexf83751e6a0

1066080003744 has 96 divisors (see below), whose sum is σ = 3202993584000. Its totient is φ = 304141565952.

The previous prime is 1066080003727. The next prime is 1066080003767. The reversal of 1066080003744 is 4473000806601.

1066080003744 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10660800037442 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 726369 + ... + 1630880.

It is an arithmetic number, because the mean of its divisors is an integer number (33364516500).

Almost surely, 21066080003744 is an apocalyptic number.

1066080003744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1066080003744 is an abundant number, since it is smaller than the sum of its proper divisors (2136913580256).

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

1066080003744 is a wasteful number, since it uses less digits than its factorization.

1066080003744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2357942 (or 2357934 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 1066080003744 in words is "one trillion, sixty-six billion, eighty million, three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 673 1346 2019 2692 4038 4711 5384 8076 9422 10768 14133 16152 18844 21536 28266 32304 37688 56532 64608 75376 113064 150752 226128 452256 2357249 4714498 7071747 9428996 14143494 16500743 18857992 28286988 33001486 37715984 49502229 56573976 66002972 75431968 99004458 113147952 132005944 198008916 226295904 264011888 396017832 528023776 792035664 1584071328 1586428577 3172857154 4759285731 6345714308 9518571462 11105000039 12691428616 19037142924 22210000078 25382857232 33315000117 38074285848 44420000156 50765714464 66630000234 76148571696 88840000312 133260000468 152297143392 177680000624 266520000936 355360001248 533040001872 1066080003744