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4416609074329 = 1912110032
BaseRepresentation
bin100000001000101001001…
…1010100011110010011001
3120122020001002011110122001
41000101102122203302121
51034330203410334304
613220543500201001
7634042455466264
oct100212232436231
916566032143561
104416609074329
111453089755381
125b3b75539161
1326063b444cba
14113a9d2ddcdb
1579d45aaada4
hex404526a3c99

4416609074329 has 9 divisors (see below), whose sum is σ = 4440257297749. Its totient is φ = 4393086167740.

The previous prime is 4416609074321. The next prime is 4416609074407. The reversal of 4416609074329 is 9234709066144.

The square root of 4416609074329 is 2101573.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 4416609074329 - 23 = 4416609074321 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4416609074329.

It is not an unprimeable number, because it can be changed into a prime (4416609074321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 401394942 + ... + 401405944.

Almost surely, 24416609074329 is an apocalyptic number.

4416609074329 is the 2101573-rd square number.

4416609074329 is the 1050787-th centered octagonal number.

It is an amenable number.

4416609074329 is a deficient number, since it is larger than the sum of its proper divisors (23648223420).

4416609074329 is an frugal number, since it uses more digits than its factorization.

4416609074329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22388 (or 11194 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 55.

The spelling of 4416609074329 in words is "four trillion, four hundred sixteen billion, six hundred nine million, seventy-four thousand, three hundred twenty-nine".

Divisors: 1 191 11003 36481 2101573 121066009 401400443 23123607719 4416609074329