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461466423076761 = 3429196452287389
BaseRepresentation
bin110100011101100111000011…
…0001110010010011110011001
32020111220202111110101100020000
41220323032012032102132121
5440441131213301424021
64313242425333123213
7166125564103361124
oct15073160616223631
92214822443340200
10461466423076761
111240458a1470753
124390b34b489509
1316a6513508a30b
1481d51460dd3bb
153853c023ecb26
hex1a3b386392799

461466423076761 has 20 divisors (see below), whose sum is σ = 713121803225700. Its totient is φ = 297035858530656.

The previous prime is 461466423076751. The next prime is 461466423076777. The reversal of 461466423076761 is 167670324664164.

461466423076761 is a `hidden beast` number, since 4 + 6 + 1 + 466 + 4 + 2 + 30 + 76 + 76 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 322485454094400 + 138980968982361 = 17957880^2 + 11789019^2 .

It is not a de Polignac number, because 461466423076761 - 213 = 461466423068569 is a prime.

It is a super-2 number, since 2×4614664230767612 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (461466423076751) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 98226141346 + ... + 98226146043.

It is an arithmetic number, because the mean of its divisors is an integer number (35656090161285).

Almost surely, 2461466423076761 is an apocalyptic number.

It is an amenable number.

461466423076761 is a deficient number, since it is larger than the sum of its proper divisors (251655380148939).

461466423076761 is a wasteful number, since it uses less digits than its factorization.

461466423076761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196452287430 (or 196452287421 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 63.

The spelling of 461466423076761 in words is "four hundred sixty-one trillion, four hundred sixty-six billion, four hundred twenty-three million, seventy-six thousand, seven hundred sixty-one".

Divisors: 1 3 9 27 29 81 87 261 783 2349 196452287389 589356862167 1768070586501 5304211759503 5697116334281 15912635278509 17091349002843 51274047008529 153822141025587 461466423076761