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38364816686812 = 22721146141779241
BaseRepresentation
bin10001011100100100000010…
…10001010011111011011100
312000211122022001001000222121
420232102001101103323130
520012032121032434222
6213332315314552324
711036523631155400
oct1056220121237334
9160748261030877
1038364816686812
111125147793a750
1243774375986a4
131853a2c486b15
14968c1d205100
15467e549475c7
hex22e481453edc

38364816686812 has 144 divisors (see below), whose sum is σ = 85414286444256. Its totient is φ = 14909723136000.

The previous prime is 38364816686803. The next prime is 38364816686849. The reversal of 38364816686812 is 21868661846383.

It is a happy number.

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, 4151582512 + ... + 4151591752.

It is an arithmetic number, because the mean of its divisors is an integer number (593154766974).

Almost surely, 238364816686812 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 38364816686812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42707143222128).

38364816686812 is an abundant number, since it is smaller than the sum of its proper divisors (47049469757444).

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

38364816686812 is a wasteful number, since it uses less digits than its factorization.

38364816686812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13908 (or 13899 counting only the distinct ones).

The product of its digits is 382205952, while the sum is 70.

The spelling of 38364816686812 in words is "thirty-eight trillion, three hundred sixty-four billion, eight hundred sixteen million, six hundred eighty-six thousand, eight hundred twelve".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 154 196 308 461 539 922 1078 1844 2156 3227 4177 5071 6454 8354 9241 10142 12908 16708 18482 20284 22589 29239 35497 36964 45178 45947 58478 64687 70994 90356 91894 101651 116956 129374 141988 183788 203302 204673 248479 258748 321629 406604 409346 452809 496958 643258 711557 818692 905618 993916 1286516 1423114 1811236 1925597 2251403 2846228 3851194 4260101 4502806 4980899 7702388 8520202 9005612 9961798 13479179 17040404 19923596 21181567 26958358 29820707 38599657 42363134 46861111 53916716 59641414 77199314 84726268 93722222 94354253 119282828 148270969 154398628 187444444 188708506 208744949 270197599 296541938 328027777 377417012 417489898 424596227 540395198 593083876 656055554 834979796 849192454 1037896783 1080790396 1312111108 1698384908 1891383193 2075793566 2296194439 2972173589 3782766386 4151587132 4592388878 5944347178 7565532772 9184777756 11888694356 17794441877 20805215123 35588883754 41610430246 71177767508 83220860492 124561093139 195738860647 249122186278 391477721294 498244372556 782955442588 871927651973 1370172024529 1743855303946 2740344049058 3487710607892 5480688098116 9591204171703 19182408343406 38364816686812