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19314884484 = 22347211032
BaseRepresentation
bin10001111111010000…
…011011111110000100
31211212002100210110000
4101333100123332010
5304024102300414
612512333001300
71252432544400
oct217720337604
954762323400
1019314884484
118211826655
1238b0623230
131a8a77a43c
14d13304100
15780a38b09
hex47f41bf84

19314884484 has 135 divisors (see below), whose sum is σ = 58789965927. Its totient is φ = 5513535216.

The previous prime is 19314884447. The next prime is 19314884527. The reversal of 19314884484 is 48448841391.

The square root of 19314884484 is 138978.

It is a perfect power (a square), and thus also a powerful number.

19314884484 is a `hidden beast` number, since 19 + 3 + 148 + 8 + 4 + 484 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 19314884484.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 17510677 + ... + 17511779.

Almost surely, 219314884484 is an apocalyptic number.

19314884484 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

19314884484 is the 138978-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19314884484

19314884484 is an abundant number, since it is smaller than the sum of its proper divisors (39475081443).

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

19314884484 is an equidigital number, since it uses as much as digits as its factorization.

19314884484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2236 (or 1115 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 54.

The spelling of 19314884484 in words is "nineteen billion, three hundred fourteen million, eight hundred eighty-four thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 567 588 756 882 1103 1134 1323 1764 2206 2268 2646 3309 3969 4412 5292 6618 7721 7938 9927 13236 15442 15876 19854 23163 29781 30884 39708 46326 54047 59562 69489 89343 92652 108094 119124 138978 162141 178686 208467 216188 277956 324282 357372 416934 486423 625401 648564 833868 972846 1216609 1250802 1459269 1945692 2433218 2501604 2918538 3649827 4377807 4866436 5837076 7299654 8516263 8755614 10949481 14599308 17032526 17511228 21898962 25548789 32848443 34065052 43797924 51097578 59613841 65696886 76646367 98545329 102195156 119227682 131393772 153292734 178841523 197090658 229939101 238455364 306585468 357683046 394181316 459878202 536524569 689817303 715366092 919756404 1073049138 1379634606 1609573707 2146098276 2759269212 3219147414 4828721121 6438294828 9657442242 19314884484