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9781830036 = 223211293172687
BaseRepresentation
bin10010001110000101…
…01110000110010100
3221020201020110012100
421013002232012110
5130013122030121
64254350322100
7464255116626
oct110702560624
927221213170
109781830036
11416a651760
121a8bab9330
13bcb740a14
1468b1b0c16
153c3b65026
hex2470ae194

9781830036 has 144 divisors (see below), whose sum is σ = 28002723840. Its totient is φ = 2851887360.

The previous prime is 9781830029. The next prime is 9781830049. The reversal of 9781830036 is 6300381879.

It is a happy number.

It is a super-2 number, since 2×97818300362 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9781829973 and 9781830000.

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, 3639085 + ... + 3641771.

It is an arithmetic number, because the mean of its divisors is an integer number (194463360).

Almost surely, 29781830036 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 9781830036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14001361920).

9781830036 is an abundant number, since it is smaller than the sum of its proper divisors (18220893804).

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

9781830036 is a wasteful number, since it uses less digits than its factorization.

9781830036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3054 (or 3049 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 9781830036 is about 98903.1346115986. The cubic root of 9781830036 is about 2138.6515827744.

The spelling of 9781830036 in words is "nine billion, seven hundred eighty-one million, eight hundred thirty thousand, thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 66 87 99 116 132 174 198 261 317 319 348 396 522 634 638 951 957 1044 1268 1276 1902 1914 2687 2853 2871 3487 3804 3828 5374 5706 5742 6974 8061 9193 10461 10748 11412 11484 13948 16122 18386 20922 24183 27579 29557 31383 32244 36772 41844 48366 55158 59114 62766 77923 82737 88671 96732 101123 110316 118228 125532 155846 165474 177342 202246 233769 266013 303369 311692 330948 354684 404492 467538 532026 606738 701307 851779 857153 910107 935076 1064052 1213476 1402614 1703558 1714306 1820214 2555337 2571459 2805228 3407116 3428612 3640428 5110674 5142918 7666011 7714377 9369569 10221348 10285836 15332022 15428754 18739138 24701591 28108707 30664044 30857508 37478276 49403182 56217414 74104773 84326121 98806364 112434828 148209546 168652242 222314319 271717501 296419092 337304484 444628638 543435002 815152503 889257276 1086870004 1630305006 2445457509 3260610012 4890915018 9781830036