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4434104753 = 13372733413
BaseRepresentation
bin1000010000100101…
…10001000110110001
3102110000112212012222
410020102301012301
533040112323003
62011554130425
7214611161051
oct41022610661
912400485188
104434104753
111975a33591
12a38b80a15
13558844430
14300c75561
151ae423c38
hex1084b11b1

4434104753 has 24 divisors (see below), whose sum is σ = 4976423928. Its totient is φ = 3926693376.

The previous prime is 4434104743. The next prime is 4434104761. The reversal of 4434104753 is 3574014344.

It can be written as a sum of positive squares in 12 ways, for example, as 132319009 + 4301785744 = 11503^2 + 65588^2 .

It is not a de Polignac number, because 4434104753 - 222 = 4429910449 is a prime.

It is a super-2 number, since 2×44341047532 = 39322569921154382018, which contains 22 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (4434104743) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1297475 + ... + 1300887.

It is an arithmetic number, because the mean of its divisors is an integer number (207350997).

Almost surely, 24434104753 is an apocalyptic number.

It is an amenable number.

4434104753 is a deficient number, since it is larger than the sum of its proper divisors (542319175).

4434104753 is a wasteful number, since it uses less digits than its factorization.

4434104753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3573 (or 3536 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 35.

The square root of 4434104753 is about 66589.0738259664. The cubic root of 4434104753 is about 1642.8653992848.

The spelling of 4434104753 in words is "four billion, four hundred thirty-four million, one hundred four thousand, seven hundred fifty-three".

Divisors: 1 13 37 73 481 949 1369 2701 3413 17797 35113 44369 99937 126281 249149 1299181 1641653 3238937 4672397 9218513 60741161 119840669 341084981 4434104753