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66042104448 = 2731000917183
BaseRepresentation
bin111101100000011010…
…101000101010000000
320022110120212111212110
4331200122220222000
52040223234320243
650201143255320
74525404424365
oct754032505200
9208416774773
1066042104448
1126010056611
121097144a540
1362c6478618
1432a710246c
151ab7e05e33
hexf606a8a80

66042104448 has 64 divisors (see below), whose sum is σ = 175452076800. Its totient is φ = 22010554368.

The previous prime is 66042104431. The next prime is 66042104467. The reversal of 66042104448 is 84440124066.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3834865 + ... + 3852047.

It is an arithmetic number, because the mean of its divisors is an integer number (2741438700).

Almost surely, 266042104448 is an apocalyptic number.

It is an amenable number.

66042104448 is an abundant number, since it is smaller than the sum of its proper divisors (109409972352).

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

66042104448 is a wasteful number, since it uses less digits than its factorization.

66042104448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27209 (or 27197 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The spelling of 66042104448 in words is "sixty-six billion, forty-two million, one hundred four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 10009 17183 20018 30027 34366 40036 51549 60054 68732 80072 103098 120108 137464 160144 206196 240216 274928 320288 412392 480432 549856 640576 824784 960864 1099712 1281152 1649568 1921728 2199424 3299136 3843456 6598272 171984647 343969294 515953941 687938588 1031907882 1375877176 2063815764 2751754352 4127631528 5503508704 8255263056 11007017408 16510526112 22014034816 33021052224 66042104448