Search a number
-
+
19863398912 = 2973195953
BaseRepresentation
bin10010011111111100…
…110110101000000000
31220021022111012210012
4102133330312220000
5311140012231122
613043005324052
71302143051000
oct223774665000
956238435705
1019863398912
118473409665
123a24266628
131b472ba6a6
14d660c8000
157b3c867e2
hex49ff36a00

19863398912 has 160 divisors (see below), whose sum is σ = 48727536000. Its totient is φ = 8063483904.

The previous prime is 19863398839. The next prime is 19863398917. The reversal of 19863398912 is 21989336891.

It is not an unprimeable number, because it can be changed into a prime (19863398917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3333728 + ... + 3339680.

It is an arithmetic number, because the mean of its divisors is an integer number (304547100).

Almost surely, 219863398912 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 19863398912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24363768000).

19863398912 is an abundant number, since it is smaller than the sum of its proper divisors (28864137088).

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

19863398912 is an frugal number, since it uses more digits than its factorization.

19863398912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6011 (or 5981 counting only the distinct ones).

The product of its digits is 5038848, while the sum is 59.

The spelling of 19863398912 in words is "nineteen billion, eight hundred sixty-three million, three hundred ninety-eight thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 64 76 98 112 128 133 152 196 224 256 266 304 343 392 448 512 532 608 686 784 896 931 1064 1216 1372 1568 1792 1862 2128 2432 2744 3136 3584 3724 4256 4864 5488 5953 6272 6517 7448 8512 9728 10976 11906 12544 13034 14896 17024 21952 23812 25088 26068 29792 34048 41671 43904 47624 52136 59584 68096 83342 87808 95248 104272 113107 119168 166684 175616 190496 208544 226214 238336 291697 333368 380992 417088 452428 476672 583394 666736 761984 791749 834176 904856 1166788 1333472 1523968 1583498 1668352 1809712 2041879 2333576 2666944 3047936 3166996 3336704 3619424 4083758 4667152 5333888 5542243 6333992 7238848 8167516 9334304 10667776 11084486 12667984 14477696 16335032 18668608 21335552 22168972 25335968 28955392 32670064 37337216 38795701 44337944 50671936 57910784 65340128 74674432 77591402 88675888 101343872 130680256 149348864 155182804 177351776 202687744 261360512 310365608 354703552 405375488 522721024 620731216 709407104 1045442048 1241462432 1418814208 2482924864 2837628416 4965849728 9931699456 19863398912