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19023819408 = 2434112121313
BaseRepresentation
bin10001101101111010…
…000111001010010000
31211002210200011020000
4101231322013022100
5302430044210113
612423414250000
71242266540226
oct215572071220
954083604200
1019023819408
1180824a5100
12382b056900
131a4238a499
14cc67b8b16
157651e2373
hex46de87290

19023819408 has 150 divisors (see below), whose sum is σ = 60521492262. Its totient is φ = 5764746240.

The previous prime is 19023819391. The next prime is 19023819413. The reversal of 19023819408 is 80491832091.

19023819408 is a `hidden beast` number, since 1 + 9 + 0 + 238 + 1 + 9 + 408 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17809436304 + 1214383104 = 133452^2 + 34848^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 96160 + ... + 217472.

Almost surely, 219023819408 is an apocalyptic number.

19023819408 is a gapful number since it is divisible by the number (18) 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 19023819408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30260746131).

19023819408 is an abundant number, since it is smaller than the sum of its proper divisors (41497672854).

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

19023819408 is a wasteful number, since it uses less digits than its factorization.

19023819408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121355 (or 121329 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 19023819408 in words is "nineteen billion, twenty-three million, eight hundred nineteen thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 121 132 144 162 176 198 216 242 264 297 324 363 396 432 484 528 594 648 726 792 891 968 1089 1188 1296 1452 1584 1782 1936 2178 2376 2904 3267 3564 4356 4752 5808 6534 7128 8712 9801 13068 14256 17424 19602 26136 39204 52272 78408 121313 156816 242626 363939 485252 727878 970504 1091817 1334443 1455756 1941008 2183634 2668886 2911512 3275451 4003329 4367268 5337772 5823024 6550902 8006658 8734536 9826353 10675544 12009987 13101804 14678873 16013316 17469072 19652706 21351088 24019974 26203608 29357746 32026632 36029961 39305412 44036619 48039948 52407216 58715492 64053264 72059922 78610824 88073238 96079896 108089883 117430984 132109857 144119844 157221648 176146476 192159792 216179766 234861968 264219714 288239688 352292952 396329571 432359532 528439428 576479376 704585904 792659142 864719064 1056878856 1188988713 1585318284 1729438128 2113757712 2377977426 3170636568 4755954852 6341273136 9511909704 19023819408