Search a number
-
+
2096263638 = 234737471063
BaseRepresentation
bin111110011110010…
…0111000111010110
312102002111020010000
41330330213013112
513243120414023
6544002112130
7102642642540
oct17474470726
95362436100
102096263638
11986316997
124a604b646
132753b02b1
1415c596690
15c407a243
hex7cf271d6

2096263638 has 160 divisors (see below), whose sum is σ = 5635897344. Its totient is φ = 569809728.

The previous prime is 2096263613. The next prime is 2096263649. The reversal of 2096263638 is 8363626902.

2096263638 is a `hidden beast` number, since 2 + 0 + 9 + 6 + 2 + 6 + 3 + 638 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2096263593 and 2096263602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1971495 + ... + 1972557.

Almost surely, 22096263638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2096263638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2817948672).

2096263638 is an abundant number, since it is smaller than the sum of its proper divisors (3539633706).

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

2096263638 is a wasteful number, since it uses less digits than its factorization.

2096263638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 2096263638 is about 45784.9717483805. The cubic root of 2096263638 is about 1279.8192367620.

The spelling of 2096263638 in words is "two billion, ninety-six million, two hundred sixty-three thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 37 42 47 54 63 74 81 94 111 126 141 162 189 222 259 282 329 333 378 423 518 567 658 666 777 846 987 999 1063 1134 1269 1554 1739 1974 1998 2126 2331 2538 2961 2997 3189 3478 3807 4662 5217 5922 5994 6378 6993 7441 7614 8883 9567 10434 12173 13986 14882 15651 17766 19134 20979 22323 24346 26649 28701 31302 36519 39331 41958 44646 46953 49961 53298 57402 66969 73038 78662 86103 93906 99922 109557 117993 133938 140859 149883 172206 200907 219114 235986 275317 281718 299766 328671 349727 353979 401814 449649 550634 602721 657342 699454 707958 825951 899298 986013 1049181 1061937 1205442 1348947 1651902 1848557 1972026 2098362 2123874 2477853 2697894 3147543 3185811 3697114 4046841 4955706 5545671 6295086 6371622 7433559 8093682 9442629 11091342 12939899 14867118 16637013 18885258 22300677 25879798 28327887 33274026 38819697 44601354 49911039 56655774 77639394 99822078 116459091 149733117 232918182 299466234 349377273 698754546 1048131819 2096263638