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11434067004 = 22323317130687
BaseRepresentation
bin10101010011000011…
…00000010000111100
31002111212012210020010
422221201200100330
5141404110121004
65130331423220
7553226652213
oct125141402074
932455183203
1011434067004
114938261858
1222712b4b10
131102b36129
147a67c207a
1546dc31a89
hex2a986043c

11434067004 has 48 divisors (see below), whose sum is σ = 27927502848. Its totient is φ = 3634116288.

The previous prime is 11434066993. The next prime is 11434067023. The reversal of 11434067004 is 40076043411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22149 + ... + 152835.

It is an arithmetic number, because the mean of its divisors is an integer number (581822976).

Almost surely, 211434067004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11434067004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13963751424).

11434067004 is an abundant number, since it is smaller than the sum of its proper divisors (16493435844).

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

11434067004 is a wasteful number, since it uses less digits than its factorization.

11434067004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131034 (or 131032 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The spelling of 11434067004 in words is "eleven billion, four hundred thirty-four million, sixty-seven thousand, four".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 317 634 951 1268 1902 3804 7291 14582 21873 29164 43746 87492 130687 261374 392061 522748 784122 1568244 3005801 6011602 9017403 12023204 18034806 36069612 41427779 82855558 124283337 165711116 248566674 497133348 952838917 1905677834 2858516751 3811355668 5717033502 11434067004