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1630199844 = 223471355291
BaseRepresentation
bin110000100101010…
…1110000000100100
311012121111201210000
41201022232000210
511314312343334
6425432501300
755253320140
oct14112560044
94177451700
101630199844
117672292a9
12395b4a830
131cc97a9c0
14116716220
15981b7299
hex612ae024

1630199844 has 120 divisors (see below), whose sum is σ = 5245220288. Its totient is φ = 429935040.

The previous prime is 1630199833. The next prime is 1630199873. The reversal of 1630199844 is 4489910361.

1630199844 is a `hidden beast` number, since 1 + 630 + 1 + 9 + 9 + 8 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1630199844.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1839 + ... + 57129.

Almost surely, 21630199844 is an apocalyptic number.

1630199844 is a gapful number since it is divisible by the number (14) 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 1630199844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2622610144).

1630199844 is an abundant number, since it is smaller than the sum of its proper divisors (3615020444).

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

1630199844 is a wasteful number, since it uses less digits than its factorization.

1630199844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55327 (or 55316 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 1630199844 is about 40375.7333555689. The cubic root of 1630199844 is about 1176.9200162107.

The spelling of 1630199844 in words is "one billion, six hundred thirty million, one hundred ninety-nine thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 81 84 91 108 117 126 156 162 182 189 234 252 273 324 351 364 378 468 546 567 702 756 819 1053 1092 1134 1404 1638 2106 2268 2457 3276 4212 4914 7371 9828 14742 29484 55291 110582 165873 221164 331746 387037 497619 663492 718783 774074 995238 1161111 1437566 1492857 1548148 1990476 2156349 2322222 2875132 2985714 3483333 4312698 4478571 4644444 5031481 5971428 6469047 6966666 8625396 8957142 10062962 10449999 12938094 13933332 15094443 17914284 19407141 20125924 20899998 25876188 30188886 31349997 38814282 41799996 45283329 58221423 60377772 62699994 77628564 90566658 116442846 125399988 135849987 181133316 232885692 271699974 407549961 543399948 815099922 1630199844