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19340094048 = 2531124313863
BaseRepresentation
bin10010000000110000…
…100110101001100000
31211220211210120110120
4102000300212221200
5304102031002143
612515033200240
71253160041562
oct220060465140
954824716416
1019340094048
118224a84a00
1238b8b60080
131a92a65b42
14d167c7332
15782d68383
hex480c26a60

19340094048 has 144 divisors (see below), whose sum is σ = 55946515968. Its totient is φ = 5845523200.

The previous prime is 19340094041. The next prime is 19340094079. The reversal of 19340094048 is 84049004391.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19340094041) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 5004565 + ... + 5008427.

It is an arithmetic number, because the mean of its divisors is an integer number (388517472).

Almost surely, 219340094048 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 19340094048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27973257984).

19340094048 is an abundant number, since it is smaller than the sum of its proper divisors (36606421920).

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

19340094048 is a wasteful number, since it uses less digits than its factorization.

19340094048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4329 (or 4310 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 19340094048 in words is "nineteen billion, three hundred forty million, ninety-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 176 242 264 352 363 431 484 528 726 862 968 1056 1293 1452 1724 1936 2586 2904 3448 3863 3872 4741 5172 5808 6896 7726 9482 10344 11589 11616 13792 14223 15452 18964 20688 23178 28446 30904 37928 41376 42493 46356 52151 56892 61808 75856 84986 92712 104302 113784 123616 127479 151712 156453 169972 185424 208604 227568 254958 312906 339944 370848 417208 455136 467423 509916 625812 679888 834416 934846 1019832 1251624 1359776 1402269 1664953 1668832 1869692 2039664 2503248 2804538 3329906 3739384 4079328 4994859 5006496 5609076 6659812 7478768 9989718 11218152 13319624 14957536 18314483 19979436 22436304 26639248 36628966 39958872 44872608 53278496 54943449 73257932 79917744 109886898 146515864 159835488 201459313 219773796 293031728 402918626 439547592 586063456 604377939 805837252 879095184 1208755878 1611674504 1758190368 2417511756 3223349008 4835023512 6446698016 9670047024 19340094048