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18630207252 = 22331391498329
BaseRepresentation
bin10001010110011100…
…100110011100010100
31210002101000120212000
4101112130212130110
5301123313113002
612320353555300
71226450102016
oct212634463424
953071016760
1018630207252
1179a02a24a8
12373b275b30
1319ab974597
14c8a3d81b6
1574089161c
hex456726714

18630207252 has 96 divisors (see below), whose sum is σ = 48980400000. Its totient is φ = 6123278592.

The previous prime is 18630207251. The next prime is 18630207257. The reversal of 18630207252 is 25270203681.

18630207252 is a `hidden beast` number, since 18 + 630 + 2 + 0 + 7 + 2 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18630207251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2232624 + ... + 2240952.

It is an arithmetic number, because the mean of its divisors is an integer number (510212500).

Almost surely, 218630207252 is an apocalyptic number.

18630207252 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 18630207252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24490200000).

18630207252 is an abundant number, since it is smaller than the sum of its proper divisors (30350192748).

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

18630207252 is a wasteful number, since it uses less digits than its factorization.

18630207252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8630 (or 8622 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 18630207252 in words is "eighteen billion, six hundred thirty million, two hundred seven thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 139 149 278 298 417 447 556 596 834 894 1251 1341 1668 1788 2502 2682 3753 4023 5004 5364 7506 8046 8329 15012 16092 16658 20711 24987 33316 41422 49974 62133 74961 82844 99948 124266 149922 186399 224883 248532 299844 372798 449766 559197 745596 899532 1118394 1157731 1241021 2236788 2315462 2482042 3473193 3723063 4630924 4964084 6946386 7446126 10419579 11169189 13892772 14892252 20839158 22338378 31258737 33507567 41678316 44676756 62517474 67015134 125034948 134030268 172501919 345003838 517505757 690007676 1035011514 1552517271 2070023028 3105034542 4657551813 6210069084 9315103626 18630207252