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18281000452 = 221113316116901
BaseRepresentation
bin10001000001101000…
…011110111000000100
31202012000221001011211
4101001220132320010
5244414414003302
612222001141204
71215006640261
oct210150367004
952160831154
1018281000452
11783116a240
12366232a804
131954508440
14c55c96268
1571edb2ad7
hex441a1ee04

18281000452 has 96 divisors (see below), whose sum is σ = 39435475968. Its totient is φ = 7300800000.

The previous prime is 18281000429. The next prime is 18281000459. The reversal of 18281000452 is 25400018281.

It is a super-5 number, since 5×182810004525 (a number of 53 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (18281000459) 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 31 ways as a sum of consecutive naturals, for example, 1073202 + ... + 1090102.

It is an arithmetic number, because the mean of its divisors is an integer number (410786208).

Almost surely, 218281000452 is an apocalyptic number.

18281000452 is the 67604-th decagonal number.

It is an amenable number.

18281000452 is an abundant number, since it is smaller than the sum of its proper divisors (21154475516).

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

18281000452 is a wasteful number, since it uses less digits than its factorization.

18281000452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17021 (or 17019 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 31.

The spelling of 18281000452 in words is "eighteen billion, two hundred eighty-one million, four hundred fifty-two", and thus it is an aban number.

Divisors: 1 2 4 11 13 22 26 31 44 52 61 62 122 124 143 244 286 341 403 572 671 682 793 806 1342 1364 1586 1612 1891 2684 3172 3782 4433 7564 8723 8866 16901 17446 17732 20801 24583 33802 34892 41602 49166 67604 83204 98332 185911 219713 270413 371822 439426 523931 540826 743644 878852 1030961 1047862 1081652 2061922 2095724 2416843 4123844 4833686 5763241 6811103 9667372 11340571 11526482 13402493 13622206 22681142 23052964 26804986 27244412 31959791 45362284 53609972 63919582 74922133 127839164 147427423 149844266 294854846 299688532 351557701 415477283 589709692 703115402 830954566 1406230804 1661909132 4570250113 9140500226 18281000452