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8415644401 is a prime number
BaseRepresentation
bin1111101011001110…
…01000101011110001
3210201111112000211101
413311213020223301
5114213401110101
63511024244401
7415355540263
oct76547105361
923644460741
108415644401
11362945921a
12176a470701
13a416a1458
1459b981b33
15343c4e401
hex1f59c8af1

8415644401 has 2 divisors, whose sum is σ = 8415644402. Its totient is φ = 8415644400.

The previous prime is 8415644399. The next prime is 8415644417. The reversal of 8415644401 is 1044465148.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6370434225 + 2045210176 = 79815^2 + 45224^2 .

It is a cyclic number.

It is not a de Polignac number, because 8415644401 - 21 = 8415644399 is a prime.

Together with 8415644399, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (8415644441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4207822200 + 4207822201.

It is an arithmetic number, because the mean of its divisors is an integer number (4207822201).

Almost surely, 28415644401 is an apocalyptic number.

It is an amenable number.

8415644401 is a deficient number, since it is larger than the sum of its proper divisors (1).

8415644401 is an equidigital number, since it uses as much as digits as its factorization.

8415644401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 61440, while the sum is 37.

The square root of 8415644401 is about 91736.8214023137. The cubic root of 8415644401 is about 2034.0539081491.

The spelling of 8415644401 in words is "eight billion, four hundred fifteen million, six hundred forty-four thousand, four hundred one".