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188182124766401 is a prime number
BaseRepresentation
bin101010110010011010010000…
…101100110010010011000001
3220200022000221211102200120112
4222302122100230302103001
5144131133442420011101
61504121401421121105
754431465323256363
oct5262322054622301
9820260854380515
10188182124766401
1154a62655595117
1219132b589b9195
13810066279347c
1434680c60d6d33
1516b50b01826bb
hexab2690b324c1

188182124766401 has 2 divisors, whose sum is σ = 188182124766402. Its totient is φ = 188182124766400.

The previous prime is 188182124766359. The next prime is 188182124766499. The reversal of 188182124766401 is 104667421281881.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 179583477567376 + 8598647199025 = 13400876^2 + 2932345^2 .

It is a cyclic number.

It is not a de Polignac number, because 188182124766401 - 226 = 188182057657537 is a prime.

It is not a weakly prime, because it can be changed into another prime (188182124768401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 94091062383200 + 94091062383201.

It is an arithmetic number, because the mean of its divisors is an integer number (94091062383201).

Almost surely, 2188182124766401 is an apocalyptic number.

It is an amenable number.

188182124766401 is a deficient number, since it is larger than the sum of its proper divisors (1).

188182124766401 is an equidigital number, since it uses as much as digits as its factorization.

188182124766401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8257536, while the sum is 59.

The spelling of 188182124766401 in words is "one hundred eighty-eight trillion, one hundred eighty-two billion, one hundred twenty-four million, seven hundred sixty-six thousand, four hundred one".