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66401055 = 3257277761
BaseRepresentation
bin1111110101001…
…1001100011111
311121221112010100
43331103030133
5113444313210
610331112143
71434254040
oct375231437
9147845110
1066401055
1134533106
121a2a2653
13109ab686
148b668c7
155c695c0
hex3f5331f

66401055 has 48 divisors (see below), whose sum is σ = 132185664. Its totient is φ = 30205440.

The previous prime is 66401053. The next prime is 66401063. The reversal of 66401055 is 55010466.

It is a happy number.

66401055 is a `hidden beast` number, since 6 + 640 + 10 + 5 + 5 = 666.

It is not a de Polignac number, because 66401055 - 21 = 66401053 is a prime.

It is a super-2 number, since 2×664010552 = 8818200210226050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66401053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86875 + ... + 87635.

It is an arithmetic number, because the mean of its divisors is an integer number (2753868).

Almost surely, 266401055 is an apocalyptic number.

66401055 is a deficient number, since it is larger than the sum of its proper divisors (65784609).

66401055 is a wasteful number, since it uses less digits than its factorization.

66401055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 66401055 is about 8148.6842496197. The cubic root of 66401055 is about 404.9409150203.

The spelling of 66401055 in words is "sixty-six million, four hundred one thousand, fifty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 277 315 761 831 1385 1939 2283 2493 3805 4155 5327 5817 6849 9695 11415 12465 15981 17451 26635 29085 34245 47943 79905 87255 210797 239715 632391 1053985 1475579 1897173 3161955 4426737 7377895 9485865 13280211 22133685 66401055