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2416045201 is a prime number
BaseRepresentation
bin1001000000000001…
…1110110010010001
320020101012210221121
42100000132302101
514422001421301
61035424122241
7113605021363
oct22000366221
96211183847
102416045201
11102a881579
12575166381
132c6715c5b
1418cc38d33
15e21953a1
hex9001ec91

2416045201 has 2 divisors, whose sum is σ = 2416045202. Its totient is φ = 2416045200.

The previous prime is 2416045153. The next prime is 2416045213. The reversal of 2416045201 is 1025406142.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1495832976 + 920212225 = 38676^2 + 30335^2 .

It is a cyclic number.

It is not a de Polignac number, because 2416045201 - 217 = 2415914129 is a prime.

It is not a weakly prime, because it can be changed into another prime (2416045241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1208022600 + 1208022601.

It is an arithmetic number, because the mean of its divisors is an integer number (1208022601).

Almost surely, 22416045201 is an apocalyptic number.

It is an amenable number.

2416045201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2416045201 is an equidigital number, since it uses as much as digits as its factorization.

2416045201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 2416045201 is about 49153.2827082790. The cubic root of 2416045201 is about 1341.8429385021.

The spelling of 2416045201 in words is "two billion, four hundred sixteen million, forty-five thousand, two hundred one".