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10434034004 = 2229325727617
BaseRepresentation
bin10011011011110101…
…01011100101010100
3222221011110211211212
421231322223211110
5132332103042004
64443205320552
7516364553132
oct115572534524
928834424755
1010434034004
1144748161a9
122032406158
13ca38b6c24
1470da66752
1541104596e
hex26deab954

10434034004 has 24 divisors (see below), whose sum is σ = 18895683240. Its totient is φ = 5035390976.

The previous prime is 10434033991. The next prime is 10434034031. The reversal of 10434034004 is 40043043401.

It can be written as a sum of positive squares in 4 ways, for example, as 513475600 + 9920558404 = 22660^2 + 99602^2 .

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 364004 + ... + 391620.

It is an arithmetic number, because the mean of its divisors is an integer number (787320135).

Almost surely, 210434034004 is an apocalyptic number.

It is an amenable number.

10434034004 is a deficient number, since it is larger than the sum of its proper divisors (8461649236).

10434034004 is a wasteful number, since it uses less digits than its factorization.

10434034004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30907 (or 30905 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 10434034004 its reverse (40043043401), we get a palindrome (50477077405).

The spelling of 10434034004 in words is "ten billion, four hundred thirty-four million, thirty-four thousand, four".

Divisors: 1 2 4 29 58 116 3257 6514 13028 27617 55234 94453 110468 188906 377812 800893 1601786 3203572 89948569 179897138 359794276 2608508501 5217017002 10434034004