Search a number
-
+
999971004256 = 257103174724809
BaseRepresentation
bin11101000110100101110…
…10101001111101100000
310112121002200212021210121
432203102322221331200
5112340420034114011
62043214053010024
7132150133202230
oct16432272517540
93477080767717
10999971004256
113560a3620a74
12141974323914
13733b22859b3
1436582659cc0
151b028e39e71
hexe8d2ea9f60

999971004256 has 96 divisors (see below), whose sum is σ = 2273170798080. Its totient is φ = 424138208256.

The previous prime is 999971004247. The next prime is 999971004257. The reversal of 999971004256 is 652400179999.

It is a super-2 number, since 2×9999710042562 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 999971004194 and 999971004203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (999971004257) 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, 40294380 + ... + 40319188.

It is an arithmetic number, because the mean of its divisors is an integer number (23678862480).

Almost surely, 2999971004256 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 999971004256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1136585399040).

999971004256 is an abundant number, since it is smaller than the sum of its proper divisors (1273199793824).

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

999971004256 is a wasteful number, since it uses less digits than its factorization.

999971004256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26676 (or 26668 counting only the distinct ones).

The product of its (nonzero) digits is 11022480, while the sum is 61.

The spelling of 999971004256 in words is "nine hundred ninety-nine billion, nine hundred seventy-one million, four thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 103 112 206 224 412 721 824 1442 1648 1747 2884 3296 3494 5768 6988 11536 12229 13976 23072 24458 24809 27952 48916 49618 55904 97832 99236 173663 179941 195664 198472 347326 359882 391328 396944 694652 719764 793888 1259587 1389304 1439528 2519174 2555327 2778608 2879056 5038348 5110654 5557216 5758112 10076696 10221308 17887289 20153392 20442616 35774578 40306784 40885232 43341323 71549156 81770464 86682646 143098312 173365292 286196624 303389261 346730584 572393248 606778522 693461168 1213557044 1386922336 2427114088 4464156269 4854228176 8928312538 9708456352 17856625076 31249093883 35713250152 62498187766 71426500304 124996375532 142853000608 249992751064 499985502128 999971004256