Search a number
-
+
19943007104 = 273771127467
BaseRepresentation
bin10010100100101100…
…100010001110000000
31220110212021201200202
4102210230202032000
5311320402211404
613054531504332
71304130522566
oct224454421600
956425251622
1019943007104
118504342459
123a46a580a8
131b5a941627
14d728cba36
157bac5e21e
hex4a4b22380

19943007104 has 128 divisors (see below), whose sum is σ = 41793822720. Its totient is φ = 9469716480.

The previous prime is 19943007103. The next prime is 19943007127. The reversal of 19943007104 is 40170034991.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19943007103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42704279 + ... + 42704745.

It is an arithmetic number, because the mean of its divisors is an integer number (326514240).

Almost surely, 219943007104 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 19943007104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20896911360).

19943007104 is an abundant number, since it is smaller than the sum of its proper divisors (21850815616).

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

19943007104 is a wasteful number, since it uses less digits than its factorization.

19943007104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 38.

The spelling of 19943007104 in words is "nineteen billion, nine hundred forty-three million, seven thousand, one hundred four".

Divisors: 1 2 4 8 16 32 37 64 71 74 127 128 142 148 254 284 296 467 508 568 592 934 1016 1136 1184 1868 2032 2272 2368 2627 3736 4064 4544 4699 4736 5254 7472 8128 9017 9088 9398 10508 14944 16256 17279 18034 18796 21016 29888 33157 34558 36068 37592 42032 59309 59776 66314 69116 72136 75184 84064 118618 132628 138232 144272 150368 168128 237236 265256 276464 288544 300736 333629 336256 474472 530512 552928 577088 601472 667258 948944 1061024 1105856 1154176 1226809 1334516 1897888 2122048 2194433 2211712 2453618 2669032 3795776 4210939 4244096 4388866 4907236 5338064 7591552 8421878 8777732 9814472 10676128 16843756 17555464 19628944 21352256 33687512 35110928 39257888 42704512 67375024 70221856 78515776 134750048 140443712 155804743 157031552 269500096 280887424 311609486 539000192 623218972 1246437944 2492875888 4985751776 9971503552 19943007104