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10004434709 = 101918110789
BaseRepresentation
bin10010101000100111…
…11000111100010101
3221211020002221101212
421110103320330111
5130442113402314
64332421431205
7502630202063
oct112423707425
927736087355
1010004434709
114274273965
121b3256b505
13c358b0b69
146ac999033
153d8486e3e
hex2544f8f15

10004434709 has 8 divisors (see below), whose sum is σ = 10105525560. Its totient is φ = 9903384000.

The previous prime is 10004434697. The next prime is 10004434751. The reversal of 10004434709 is 90743440001.

It is a happy number.

10004434709 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 4512883684 + 5491551025 = 67178^2 + 74105^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10004434709 - 228 = 9735999253 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10004433709) 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 7 ways as a sum of consecutive naturals, for example, 921887 + ... + 932675.

It is an arithmetic number, because the mean of its divisors is an integer number (1263190695).

Almost surely, 210004434709 is an apocalyptic number.

It is an amenable number.

10004434709 is a deficient number, since it is larger than the sum of its proper divisors (101090851).

10004434709 is a wasteful number, since it uses less digits than its factorization.

10004434709 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20071.

The product of its (nonzero) digits is 12096, while the sum is 32.

The spelling of 10004434709 in words is "ten billion, four million, four hundred thirty-four thousand, seven hundred nine".

Divisors: 1 101 9181 10789 927281 1089689 99053809 10004434709