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18536393172 = 223112181251281
BaseRepresentation
bin10001010000110110…
…101110100111010100
31202211211111100010110
4101100312232213110
5300430304040142
612303203123020
71224230512413
oct212066564724
952754440113
1018536393172
117952346600
123713973470
1319953b85ab
14c7bb7747a
1573750e99c
hex450dae9d4

18536393172 has 144 divisors (see below), whose sum is σ = 48164905152. Its totient is φ = 5544000000.

The previous prime is 18536393171. The next prime is 18536393201. The reversal of 18536393172 is 27139363581.

Its product of digits (816480) is a multiple of the sum of its prime divisors (729).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18536393171) 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 47 ways as a sum of consecutive naturals, for example, 65965672 + ... + 65965952.

It is an arithmetic number, because the mean of its divisors is an integer number (334478508).

Almost surely, 218536393172 is an apocalyptic number.

18536393172 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 18536393172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24082452576).

18536393172 is an abundant number, since it is smaller than the sum of its proper divisors (29628511980).

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

18536393172 is a wasteful number, since it uses less digits than its factorization.

18536393172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 729 counting only the distinct ones).

The product of its digits is 816480, while the sum is 48.

The spelling of 18536393172 in words is "eighteen billion, five hundred thirty-six million, three hundred ninety-three thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 181 242 251 281 362 363 484 502 543 562 724 726 753 843 1004 1086 1124 1452 1506 1686 1991 2172 2761 3012 3091 3372 3982 5522 5973 6182 7964 8283 9273 11044 11946 12364 16566 18546 21901 23892 30371 33132 34001 37092 43802 45431 50861 60742 65703 68002 70531 87604 90862 91113 101722 102003 121484 131406 136004 136293 141062 152583 181724 182226 203444 204006 211593 262812 272586 282124 305166 364452 408012 423186 499741 545172 559471 610332 775841 846372 999482 1118942 1499223 1551682 1678413 1998964 2237884 2327523 2998446 3103364 3356826 4655046 5497151 5996892 6154181 6713652 8534251 9310092 10994302 12308362 12766111 16491453 17068502 18462543 21988604 24616724 25532222 25602753 32982906 34137004 36925086 38298333 51064444 51205506 65965812 73850172 76596666 102411012 140427221 153193332 280854442 421281663 561708884 842563326 1544699431 1685126652 3089398862 4634098293 6178797724 9268196586 18536393172