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42773931577 = 1338920894049
BaseRepresentation
bin100111110101100001…
…100110011000111001
311002101222200212021001
4213311201212120321
51200100111302302
631352225445001
73042656263606
oct476541463071
9132358625231
1042773931577
111715a850983
128358aa0761
1340589831b0
1420dab676ad
1511a52c2787
hex9f5866639

42773931577 has 16 divisors (see below), whose sum is σ = 46216170000. Its totient is φ = 39353554944.

The previous prime is 42773931539. The next prime is 42773931593. The reversal of 42773931577 is 77513937724.

It can be written as a sum of positive squares in 8 ways, for example, as 2655443961 + 40118487616 = 51531^2 + 200296^2 .

It is a cyclic number.

It is not a de Polignac number, because 42773931577 - 235 = 8414193209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42773931527) 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 15 ways as a sum of consecutive naturals, for example, 10562049 + ... + 10566097.

It is an arithmetic number, because the mean of its divisors is an integer number (2888510625).

Almost surely, 242773931577 is an apocalyptic number.

It is an amenable number.

42773931577 is a deficient number, since it is larger than the sum of its proper divisors (3442238423).

42773931577 is a wasteful number, since it uses less digits than its factorization.

42773931577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6540.

The product of its digits is 7779240, while the sum is 55.

The spelling of 42773931577 in words is "forty-two billion, seven hundred seventy-three million, nine hundred thirty-one thousand, five hundred seventy-seven".

Divisors: 1 13 389 2089 4049 5057 27157 52637 812621 1575061 8458361 10564073 20475793 109958693 3290302429 42773931577