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18003727872 = 293313177183
BaseRepresentation
bin10000110001000110…
…110001011000000000
31201110201012010201000
4100301012301120000
5243332423242442
612134254212000
71205102106354
oct206106613000
951421163630
1018003727872
1176a96a9249
1235a54b4000
13190bc37320
14c2b11b464
15705892d4c
hex4311b1600

18003727872 has 640 divisors, whose sum is σ = 62366008320. Its totient is φ = 5078384640.

The previous prime is 18003727817. The next prime is 18003727901. The reversal of 18003727872 is 27872730081.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 216912343 + ... + 216912425.

It is an arithmetic number, because the mean of its divisors is an integer number (97446888).

Almost surely, 218003727872 is an apocalyptic number.

18003727872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18003727872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31183004160).

18003727872 is an abundant number, since it is smaller than the sum of its proper divisors (44362280448).

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

18003727872 is a wasteful number, since it uses less digits than its factorization.

18003727872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The spelling of 18003727872 in words is "eighteen billion, three million, seven hundred twenty-seven thousand, eight hundred seventy-two".