Search a number
-
+
9816394812 = 223721031091487
BaseRepresentation
bin10010010010001101…
…00100110000111100
3221100010021112011020
421021012210300330
5130100444113222
64302023224140
7465154656600
oct111106446074
927303245136
109816394812
11418810a794
121a9b5a8050
13c05953653
14691a0b500
153c6be165c
hex2491a4c3c

9816394812 has 144 divisors (see below), whose sum is σ = 27168261120. Its totient is φ = 2750122368.

The previous prime is 9816394771. The next prime is 9816394823. The reversal of 9816394812 is 2184936189.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6600733 + ... + 6602219.

It is an arithmetic number, because the mean of its divisors is an integer number (188668480).

Almost surely, 29816394812 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 9816394812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13584130560).

9816394812 is an abundant number, since it is smaller than the sum of its proper divisors (17351866308).

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

9816394812 is a wasteful number, since it uses less digits than its factorization.

9816394812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1720 (or 1711 counting only the distinct ones).

The product of its digits is 746496, while the sum is 51.

The square root of 9816394812 is about 99077.7210678566. The cubic root of 9816394812 is about 2141.1676461842.

The spelling of 9816394812 in words is "nine billion, eight hundred sixteen million, three hundred ninety-four thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 103 109 147 196 206 218 294 309 327 412 436 588 618 654 721 763 1236 1308 1442 1487 1526 2163 2289 2884 2974 3052 4326 4461 4578 5047 5341 5948 8652 8922 9156 10094 10409 10682 11227 15141 16023 17844 20188 20818 21364 22454 30282 31227 32046 33681 41636 44908 60564 62454 64092 67362 72863 78589 124908 134724 145726 153161 157178 162083 218589 235767 291452 306322 314356 324166 437178 459483 471534 486249 550123 612644 648332 874356 918966 943068 972498 1072127 1100246 1134581 1650369 1837932 1944996 2144254 2200492 2269162 3216381 3300738 3403743 4288508 4538324 6432762 6601476 6807486 7504889 7942067 12865524 13614972 15009778 15884134 16694549 22514667 23826201 30019556 31768268 33389098 45029334 47652402 50083647 66778196 90058668 95304804 100167294 116861843 200334588 233723686 350585529 467447372 701171058 818032901 1402342116 1636065802 2454098703 3272131604 4908197406 9816394812