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10044434377 = 176736724029
BaseRepresentation
bin10010101101011000…
…11110011111001001
3221221000101010122001
421112230132133021
5131032333400002
64340411031001
7503624166145
oct112654363711
927830333561
1010044434377
11429490423a
121b43a3b461
13c40c774c3
146b400c225
153dbc38a87
hex256b1e7c9

10044434377 has 16 divisors (see below), whose sum is σ = 10823880960. Its totient is φ = 9286725888.

The previous prime is 10044434359. The next prime is 10044434429. The reversal of 10044434377 is 77343444001.

It is a cyclic number.

It is not a de Polignac number, because 10044434377 - 223 = 10036045769 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10044434317) 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 in 15 ways as a sum of consecutive naturals, for example, 405999 + ... + 430027.

It is an arithmetic number, because the mean of its divisors is an integer number (676492560).

Almost surely, 210044434377 is an apocalyptic number.

10044434377 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10044434377 is a deficient number, since it is larger than the sum of its proper divisors (779446583).

10044434377 is a wasteful number, since it uses less digits than its factorization.

10044434377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24480.

The product of its (nonzero) digits is 112896, while the sum is 37.

Adding to 10044434377 its reverse (77343444001), we get a palindrome (87387878378).

The spelling of 10044434377 in words is "ten billion, forty-four million, four hundred thirty-four thousand, three hundred seventy-seven".

Divisors: 1 17 67 367 1139 6239 24029 24589 408493 418013 1609943 8818643 27369031 149916931 590849081 10044434377