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766083681261 = 3285120409029
BaseRepresentation
bin10110010010111100010…
…01010100101111101101
32201020101200121020021100
423021132021110233231
5100022414410300021
61343533423553313
7106230160564203
oct13113611245755
92636350536240
10766083681261
112759922a2508
1210457ba5b839
135731a411a12
1429115b4b073
1514dda972626
hexb25e254bed

766083681261 has 6 divisors (see below), whose sum is σ = 1106565317390. Its totient is φ = 510722454168.

The previous prime is 766083681239. The next prime is 766083681263. The reversal of 766083681261 is 162186380667.

766083681261 is a `hidden beast` number, since 7 + 6 + 608 + 3 + 6 + 8 + 1 + 26 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 651370055625 + 114713625636 = 807075^2 + 338694^2 .

It is not a de Polignac number, because 766083681261 - 221 = 766081584109 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 766083681198 and 766083681207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (766083681263) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 42560204506 + ... + 42560204523.

Almost surely, 2766083681261 is an apocalyptic number.

It is an amenable number.

766083681261 is a deficient number, since it is larger than the sum of its proper divisors (340481636129).

766083681261 is a wasteful number, since it uses less digits than its factorization.

766083681261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85120409035 (or 85120409032 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 766083681261 in words is "seven hundred sixty-six billion, eighty-three million, six hundred eighty-one thousand, two hundred sixty-one".

Divisors: 1 3 9 85120409029 255361227087 766083681261