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18820534348 = 227117929791
BaseRepresentation
bin10001100001110010…
…101001000001001100
31210120122011012112201
4101201302221001030
5302021024044343
612351313211244
71234250621350
oct214162510114
953518135481
1018820534348
117a88779020
123792b60b24
131a0c222b75
14ca77bd460
1575243994d
hex461ca904c

18820534348 has 72 divisors (see below), whose sum is σ = 41593595904. Its totient is φ = 7239117600.

The previous prime is 18820534333. The next prime is 18820534349. The reversal of 18820534348 is 84343502881.

It is a junction number, because it is equal to n+sod(n) for n = 18820534298 and 18820534307.

It is not an unprimeable number, because it can be changed into a prime (18820534349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1917333 + ... + 1927123.

It is an arithmetic number, because the mean of its divisors is an integer number (577688832).

Almost surely, 218820534348 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 18820534348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20796797952).

18820534348 is an abundant number, since it is smaller than the sum of its proper divisors (22773061556).

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

18820534348 is a wasteful number, since it uses less digits than its factorization.

18820534348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9971 (or 9890 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 46.

The spelling of 18820534348 in words is "eighteen billion, eight hundred twenty million, five hundred thirty-four thousand, three hundred forty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 77 79 154 158 308 316 553 869 1106 1738 2212 3476 6083 6241 9791 12166 12482 19582 24332 24964 39164 43687 68537 68651 87374 107701 137074 137302 174748 215402 274148 274604 430804 480557 753907 773489 961114 1507814 1546978 1922228 3015628 3093956 5414423 8508379 10828846 17016758 21657692 34033516 59558653 61105631 119117306 122211262 238234612 244422524 427739417 672161941 855478834 1344323882 1710957668 2688647764 4705133587 9410267174 18820534348