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66774033743771 = 271773425974843
BaseRepresentation
bin11110010111011000010101…
…00011111011111110011011
322202102112110012222022200102
433023230022203323332123
532223011210114300041
6354003322334530015
720031156542626664
oct1713541243737633
9282375405868612
1066774033743771
111a304788286662
1275a530896690b
132b349c23ca2a3
14126bc4805c36b
157abe2c3e209b
hex3cbb0a8fbf9b

66774033743771 has 16 divisors (see below), whose sum is σ = 67123787512320. Its totient is φ = 66425083071840.

The previous prime is 66774033743633. The next prime is 66774033743827. The reversal of 66774033743771 is 17734733047766.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-66774033743771 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 66774033743698 and 66774033743707.

It is not an unprimeable number, because it can be changed into a prime (66774033743171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 892150676 + ... + 892225518.

It is an arithmetic number, because the mean of its divisors is an integer number (4195236719520).

Almost surely, 266774033743771 is an apocalyptic number.

66774033743771 is a deficient number, since it is larger than the sum of its proper divisors (349753768549).

66774033743771 is a wasteful number, since it uses less digits than its factorization.

66774033743771 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80146.

The product of its (nonzero) digits is 261382464, while the sum is 65.

The spelling of 66774033743771 in words is "sixty-six trillion, seven hundred seventy-four billion, thirty-three million, seven hundred forty-three thousand, seven hundred seventy-one".

Divisors: 1 271 773 4259 74843 209483 1154189 3292207 20282453 57853639 318756337 892188097 15678336169 86382967327 246398648501 66774033743771