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465221946401 is a prime number
BaseRepresentation
bin1101100010100010110…
…00111000110000100001
31122110211010011112112022
412301101120320300201
530110233304241101
6553415304511225
745416430204152
oct6612130706041
91573733145468
10465221946401
1116a33272a043
12761b5a7b515
1334b40bc6734
14187343ad929
15c17c7e4a1b
hex6c51638c21

465221946401 has 2 divisors, whose sum is σ = 465221946402. Its totient is φ = 465221946400.

The previous prime is 465221946323. The next prime is 465221946479. The reversal of 465221946401 is 104649122564.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (465221946323) and next prime (465221946479).

It can be written as a sum of positive squares in only one way, i.e., 463929903376 + 1292043025 = 681124^2 + 35945^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-465221946401 is a prime.

It is not a weakly prime, because it can be changed into another prime (465221046401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 232610973200 + 232610973201.

It is an arithmetic number, because the mean of its divisors is an integer number (232610973201).

Almost surely, 2465221946401 is an apocalyptic number.

It is an amenable number.

465221946401 is a deficient number, since it is larger than the sum of its proper divisors (1).

465221946401 is an equidigital number, since it uses as much as digits as its factorization.

465221946401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 414720, while the sum is 44.

The spelling of 465221946401 in words is "four hundred sixty-five billion, two hundred twenty-one million, nine hundred forty-six thousand, four hundred one".