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164642303246461 = 336380348945287
BaseRepresentation
bin100101011011110111000110…
…000000000000000001111101
3210120221122120012021101100021
4211123313012000000001331
5133034444414112341321
61342055344022532141
746452004520615155
oct4533670600000175
9716848505241307
10164642303246461
1148507454a6a657
1216570946297051
1370b3919740631
142c92a31171765
151407acde95941
hex95bdc600007d

164642303246461 has 4 divisors (see below), whose sum is σ = 164642355555552. Its totient is φ = 164642250937372.

The previous prime is 164642303246453. The next prime is 164642303246567.

It is a happy number.

164642303246461 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 164642303246461 - 23 = 164642303246453 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 164642303246399 and 164642303246408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164642303246401) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21108841 + ... + 27836446.

It is an arithmetic number, because the mean of its divisors is an integer number (41160588888888).

Almost surely, 2164642303246461 is an apocalyptic number.

It is an amenable number.

164642303246461 is a deficient number, since it is larger than the sum of its proper divisors (52309091).

164642303246461 is an equidigital number, since it uses as much as digits as its factorization.

164642303246461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52309090.

The product of its (nonzero) digits is 11943936, while the sum is 52.

The spelling of 164642303246461 in words is "one hundred sixty-four trillion, six hundred forty-two billion, three hundred three million, two hundred forty-six thousand, four hundred sixty-one".

Divisors: 1 3363803 48945287 164642303246461