Search a number
-
+
18318130944 = 283892631019
BaseRepresentation
bin10001000011110110…
…000111111100000000
31202021121210110122020
4101003312013330000
5300003420142234
612225405041440
71215640354401
oct210366077400
952247713566
1018318130944
11785011a9a3
123672856280
13195c108b49
14c5ab9d9a8
15723299549
hex443d87f00

18318130944 has 144 divisors (see below), whose sum is σ = 49536748800. Its totient is φ = 6008578048.

The previous prime is 18318130937. The next prime is 18318130951. The reversal of 18318130944 is 44903181381.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (18318130937) and next prime (18318130951).

It is a super-2 number, since 2×183181309442 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 18318130896 and 18318130905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17976067 + ... + 17977085.

It is an arithmetic number, because the mean of its divisors is an integer number (344005200).

Almost surely, 218318130944 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 18318130944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24768374400).

18318130944 is an abundant number, since it is smaller than the sum of its proper divisors (31218617856).

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

18318130944 is a wasteful number, since it uses less digits than its factorization.

18318130944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390 (or 1376 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 18318130944 in words is "eighteen billion, three hundred eighteen million, one hundred thirty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 89 96 128 178 192 256 263 267 356 384 526 534 712 768 789 1019 1052 1068 1424 1578 2038 2104 2136 2848 3057 3156 4076 4208 4272 5696 6114 6312 8152 8416 8544 11392 12228 12624 16304 16832 17088 22784 23407 24456 25248 32608 33664 34176 46814 48912 50496 65216 67328 68352 70221 90691 93628 97824 100992 130432 140442 181382 187256 195648 201984 260864 267997 272073 280884 362764 374512 391296 535994 544146 561768 725528 749024 782592 803991 1071988 1088292 1123536 1451056 1498048 1607982 2143976 2176584 2247072 2902112 2996096 3215964 4287952 4353168 4494144 5804224 5992192 6431928 8575904 8706336 8988288 11608448 12863856 17151808 17412672 17976576 23216896 23851733 25727712 34303616 34825344 47703466 51455424 68607232 69650688 71555199 95406932 102910848 143110398 190813864 205821696 286220796 381627728 572441592 763255456 1144883184 1526510912 2289766368 3053021824 4579532736 6106043648 9159065472 18318130944