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10004411004 = 2237175967709
BaseRepresentation
bin10010101000100111…
…10011001001111100
3221211020001201212220
421110103303021330
5130442112123004
64332421125340
7502630043010
oct112423631174
927736051786
1010004411004
114274258075
121b32559850
13c358a3133
146ac990540
153d847edd9
hex2544f327c

10004411004 has 48 divisors (see below), whose sum is σ = 26693990400. Its totient is φ = 2856735936.

The previous prime is 10004410967. The next prime is 10004411029. The reversal of 10004411004 is 40011440001.

10004411004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 113902 + ... + 181610.

It is an arithmetic number, because the mean of its divisors is an integer number (556124800).

Almost surely, 210004411004 is an apocalyptic number.

10004411004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10004411004 is an abundant number, since it is smaller than the sum of its proper divisors (16689579396).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10004411004 is a wasteful number, since it uses less digits than its factorization.

10004411004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69482 (or 69480 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10004411004 its reverse (40011440001), we get a palindrome (50015851005).

The spelling of 10004411004 in words is "ten billion, four million, four hundred eleven thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 1759 3518 5277 7036 10554 12313 21108 24626 36939 49252 67709 73878 135418 147756 203127 270836 406254 473963 812508 947926 1421889 1895852 2843778 5687556 119100131 238200262 357300393 476400524 714600786 833700917 1429201572 1667401834 2501102751 3334803668 5002205502 10004411004