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464146414601 is a prime number
BaseRepresentation
bin1101100000100010100…
…10000011110000001001
31122101001011100212021012
412300101102003300021
530101032440231401
6553120444253305
745350660300012
oct6602122036011
91571034325235
10464146414601
11169930607091
1275b55841235
13349cc131b9c
1418671600009
15c1181938bb
hex6c11483c09

464146414601 has 2 divisors, whose sum is σ = 464146414602. Its totient is φ = 464146414600.

The previous prime is 464146414577. The next prime is 464146414643. The reversal of 464146414601 is 106414641464.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 269100525001 + 195045889600 = 518749^2 + 441640^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-464146414601 is a prime.

It is not a weakly prime, because it can be changed into another prime (464146464601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 232073207300 + 232073207301.

It is an arithmetic number, because the mean of its divisors is an integer number (232073207301).

Almost surely, 2464146414601 is an apocalyptic number.

It is an amenable number.

464146414601 is a deficient number, since it is larger than the sum of its proper divisors (1).

464146414601 is an equidigital number, since it uses as much as digits as its factorization.

464146414601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 221184, while the sum is 41.

The spelling of 464146414601 in words is "four hundred sixty-four billion, one hundred forty-six million, four hundred fourteen thousand, six hundred one".