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18043006432 = 251165378497
BaseRepresentation
bin10000110011011100…
…100110110111100000
31201120110002200202111
4100303130212313200
5243423002201212
612142220125104
71206060011203
oct206334466740
951513080674
1018043006432
117719896870
1235b6696794
13191710a689
14c3242393a
15709050ea7
hex433726de0

18043006432 has 48 divisors (see below), whose sum is σ = 38811295152. Its totient is φ = 8188702720.

The previous prime is 18043006427. The next prime is 18043006439. The reversal of 18043006432 is 23460034081.

It is a super-2 number, since 2×180430064322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 18043006394 and 18043006403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18043006439) 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, 190608 + ... + 269104.

It is an arithmetic number, because the mean of its divisors is an integer number (808568649).

Almost surely, 218043006432 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 18043006432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19405647576).

18043006432 is an abundant number, since it is smaller than the sum of its proper divisors (20768288720).

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

18043006432 is a wasteful number, since it uses less digits than its factorization.

18043006432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79171 (or 79163 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The spelling of 18043006432 in words is "eighteen billion, forty-three million, six thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 653 1306 2612 5224 7183 10448 14366 20896 28732 57464 78497 114928 156994 229856 313988 627976 863467 1255952 1726934 2511904 3453868 6907736 13815472 27630944 51258541 102517082 205034164 410068328 563843951 820136656 1127687902 1640273312 2255375804 4510751608 9021503216 18043006432