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18300453300 = 22325293721701
BaseRepresentation
bin10001000010110010…
…101100000110110100
31202020101112100110200
4101002302230012310
5244434404001200
612223534120500
71215334200153
oct210262540664
952211470420
1018300453300
117841146478
123668950130
1319585597bc
14c586bb59a
15721956800
hex442cac1b4

18300453300 has 108 divisors (see below), whose sum is σ = 57425618796. Its totient is φ = 4874688000.

The previous prime is 18300453289. The next prime is 18300453313. The reversal of 18300453300 is 335400381.

It is a happy number.

18300453300 is a `hidden beast` number, since 1 + 8 + 300 + 4 + 53 + 300 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 747913104 + 17552540196 = 27348^2 + 132486^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 832450 + ... + 854150.

Almost surely, 218300453300 is an apocalyptic number.

18300453300 is a gapful number since it is divisible by the number (10) 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 18300453300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28712809398).

18300453300 is an abundant number, since it is smaller than the sum of its proper divisors (39125165496).

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

18300453300 is a wasteful number, since it uses less digits than its factorization.

18300453300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22658 (or 22648 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 18300453300 its reverse (335400381), we get a palindrome (18635853681).

The spelling of 18300453300 in words is "eighteen billion, three hundred million, four hundred fifty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 937 1874 2811 3748 4685 5622 8433 9370 11244 14055 16866 18740 21701 23425 28110 33732 42165 43402 46850 56220 65103 70275 84330 86804 93700 108505 130206 140550 168660 195309 210825 217010 260412 281100 325515 390618 421650 434020 542525 651030 781236 843300 976545 1085050 1302060 1627575 1953090 2170100 3255150 3906180 4882725 6510300 9765450 19530900 20333837 40667674 61001511 81335348 101669185 122003022 183004533 203338370 244006044 305007555 366009066 406676740 508345925 610015110 732018132 915022665 1016691850 1220030220 1525037775 1830045330 2033383700 3050075550 3660090660 4575113325 6100151100 9150226650 18300453300