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10044404253 = 3213175049977
BaseRepresentation
bin10010101101011000…
…10111001000011101
3221221000022121022100
421112230113020131
5131032331414003
64340410235313
7503624012262
oct112654271035
927830277270
1010044404253
114294893644
121b43a25b39
13c40c66890
146b4001269
153dbc2eba3
hex256b1721d

10044404253 has 24 divisors (see below), whose sum is σ = 16543727928. Its totient is φ = 5817572352.

The previous prime is 10044404189. The next prime is 10044404273. The reversal of 10044404253 is 35240444001.

It is a happy number.

10044404253 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 4 + 404 + 253 = 666.

10044404253 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 417262329 + 9627141924 = 20427^2 + 98118^2 .

It is not a de Polignac number, because 10044404253 - 26 = 10044404189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10044404273) 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 23 ways as a sum of consecutive naturals, for example, 2523000 + ... + 2526977.

It is an arithmetic number, because the mean of its divisors is an integer number (689321997).

Almost surely, 210044404253 is an apocalyptic number.

10044404253 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10044404253 is a deficient number, since it is larger than the sum of its proper divisors (6499323675).

10044404253 is a wasteful number, since it uses less digits than its factorization.

10044404253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5050013 (or 5050010 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 10044404253 its reverse (35240444001), we get a palindrome (45284848254).

The spelling of 10044404253 in words is "ten billion, forty-four million, four hundred four thousand, two hundred fifty-three".

Divisors: 1 3 9 13 17 39 51 117 153 221 663 1989 5049977 15149931 45449793 65649701 85849609 196949103 257548827 590847309 772646481 1116044917 3348134751 10044404253