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766320428257 = 27713012126441
BaseRepresentation
bin10110010011011000100…
…00011100010011100001
32201021000012002020002121
423021230100130103201
5100023411012201012
61344013122144241
7106236064110526
oct13115420342341
92637005066077
10766320428257
11275aa39a3a8a
121046271b2081
1357357493cb7
142913937714d
1514e01639a07
hexb26c41c4e1

766320428257 has 8 divisors (see below), whose sum is σ = 769678440552. Its totient is φ = 762966672000.

The previous prime is 766320428221. The next prime is 766320428333. The reversal of 766320428257 is 752824023667.

It can be written as a sum of positive squares in 4 ways, for example, as 7463404881 + 758857023376 = 86391^2 + 871124^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 766320428257 - 27 = 766320428129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (766320428557) 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 7 ways as a sum of consecutive naturals, for example, 702844 + ... + 1423597.

It is an arithmetic number, because the mean of its divisors is an integer number (96209805069).

Almost surely, 2766320428257 is an apocalyptic number.

It is an amenable number.

766320428257 is a deficient number, since it is larger than the sum of its proper divisors (3358012295).

766320428257 is a wasteful number, since it uses less digits than its factorization.

766320428257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2128019.

The product of its (nonzero) digits is 6773760, while the sum is 52.

The spelling of 766320428257 in words is "seven hundred sixty-six billion, three hundred twenty million, four hundred twenty-eight thousand, two hundred fifty-seven".

Divisors: 1 277 1301 360377 2126441 589024157 2766499741 766320428257