Search a number
-
+
3644121484877 is a prime number
BaseRepresentation
bin110101000001110110100…
…100010000111001001101
3110220101010002110222210212
4311001312210100321031
5434201130100004002
611430030350212205
7524164504353566
oct65016644207115
913811102428725
103644121484877
111185510637965
124aa308ab4065
132058403880c3
14c853ac8316d
1564bd2d19352
hex35076910e4d

3644121484877 has 2 divisors, whose sum is σ = 3644121484878. Its totient is φ = 3644121484876.

The previous prime is 3644121484859. The next prime is 3644121485021. The reversal of 3644121484877 is 7784841214463.

3644121484877 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3546973322281 + 97148162596 = 1883341^2 + 311686^2 .

It is a cyclic number.

It is not a de Polignac number, because 3644121484877 - 210 = 3644121483853 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3644121484807) 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, 1822060742438 + 1822060742439.

It is an arithmetic number, because the mean of its divisors is an integer number (1822060742439).

Almost surely, 23644121484877 is an apocalyptic number.

It is an amenable number.

3644121484877 is a deficient number, since it is larger than the sum of its proper divisors (1).

3644121484877 is an equidigital number, since it uses as much as digits as its factorization.

3644121484877 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 28901376, while the sum is 59.

The spelling of 3644121484877 in words is "three trillion, six hundred forty-four billion, one hundred twenty-one million, four hundred eighty-four thousand, eight hundred seventy-seven".