Search a number
-
+
9994624920 = 2332573966121
BaseRepresentation
bin10010100111011100…
…11101111110011000
3221210112122112220100
421103232131332120
5130432110444140
64331431255400
7502450624110
oct112356357630
927715575810
109994624920
1142697836a5
121b2b21a560
13c33857a57
146ab564040
153d769a530
hex253b9df98

9994624920 has 96 divisors (see below), whose sum is σ = 37122901920. Its totient is φ = 2284485120.

The previous prime is 9994624909. The next prime is 9994624933. The reversal of 9994624920 is 294264999.

9994624920 is a `hidden beast` number, since 9 + 9 + 9 + 4 + 624 + 9 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1980541 + ... + 1985580.

It is an arithmetic number, because the mean of its divisors is an integer number (386696895).

Almost surely, 29994624920 is an apocalyptic number.

9994624920 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9994624920 is an abundant number, since it is smaller than the sum of its proper divisors (27128277000).

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

9994624920 is a wasteful number, since it uses less digits than its factorization.

9994624920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3966145 (or 3966138 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The square root of 9994624920 is about 99973.1209875935. The cubic root of 9994624920 is about 2154.0486122232.

The spelling of 9994624920 in words is "nine billion, nine hundred ninety-four million, six hundred twenty-four thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 3966121 7932242 11898363 15864484 19830605 23796726 27762847 31728968 35695089 39661210 47593452 55525694 59491815 71390178 79322420 83288541 95186904 111051388 118983630 138814235 142780356 158644840 166577082 178475445 222102776 237967260 249865623 277628470 285560712 333154164 356950890 416442705 475934520 499731246 555256940 666308328 713901780 832885410 999462492 1110513880 1249328115 1427803560 1665770820 1998924984 2498656230 3331541640 4997312460 9994624920