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3745854585473 = 711213526164663
BaseRepresentation
bin110110100000100110010…
…101001111101010000001
3111021002201001020222010112
4312200212111033222001
5442333002233213343
611544453303441105
7534425524425530
oct66404625175201
914232631228115
103745854585473
111214676294100
12505b7b156195
13212303c63450
14cd42c164317
1567689295218
hex3682654fa81

3745854585473 has 48 divisors (see below), whose sum is σ = 5068542275328. Its totient is φ = 2693767190400.

The previous prime is 3745854585419. The next prime is 3745854585521.

It is a happy number.

3745854585473 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3745854585473 - 212 = 3745854581377 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3745854585673) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 57896540 + ... + 57961202.

It is an arithmetic number, because the mean of its divisors is an integer number (105594630736).

Almost surely, 23745854585473 is an apocalyptic number.

It is an amenable number.

3745854585473 is a deficient number, since it is larger than the sum of its proper divisors (1322687689855).

3745854585473 is a wasteful number, since it uses less digits than its factorization.

3745854585473 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69966 (or 69955 counting only the distinct ones).

The product of its digits is 1128960000, while the sum is 68.

The spelling of 3745854585473 in words is "three trillion, seven hundred forty-five billion, eight hundred fifty-four million, five hundred eighty-five thousand, four hundred seventy-three".

Divisors: 1 7 11 13 77 91 121 143 847 1001 1573 5261 11011 36827 57871 64663 68393 405097 452641 478751 636581 711293 752323 840619 4456067 4979051 5266261 5884333 7824223 8275553 9246809 54769561 57928871 64727663 101714899 340192043 712004293 2381344301 3742112473 4422496559 26194787311 30957475913 41163237203 48647462149 288142660421 340532235043 535122083639 3745854585473