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13852288062 = 2342331432789
BaseRepresentation
bin11001110011010100…
…10010010000111110
31022202101112010220000
430321222102100332
5211332141204222
610210314335130
71000162335324
oct147152222076
938671463800
1013852288062
11596928a058
12282712a4a6
1313c9b31572
14955a25d14
155611a69ac
hex339a9243e

13852288062 has 160 divisors (see below), whose sum is σ = 34223523840. Its totient is φ = 4173301440.

The previous prime is 13852288061. The next prime is 13852288063. The reversal of 13852288062 is 26088225831.

13852288062 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13852288061) and next prime (13852288063).

It is a junction number, because it is equal to n+sod(n) for n = 13852287999 and 13852288017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13852288061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4965364 + ... + 4968152.

It is an arithmetic number, because the mean of its divisors is an integer number (213897024).

Almost surely, 213852288062 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13852288062, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17111761920).

13852288062 is an abundant number, since it is smaller than the sum of its proper divisors (20371235778).

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

13852288062 is a wasteful number, since it uses less digits than its factorization.

13852288062 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2900 (or 2891 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 13852288062 in words is "thirteen billion, eight hundred fifty-two million, two hundred eighty-eight thousand, sixty-two".

Divisors: 1 2 3 6 9 18 23 27 31 43 46 54 62 69 81 86 93 129 138 162 186 207 258 279 387 414 558 621 713 774 837 989 1161 1242 1333 1426 1674 1863 1978 2139 2322 2511 2666 2789 2967 3483 3726 3999 4278 5022 5578 5934 6417 6966 7998 8367 8901 11997 12834 16734 17802 19251 23994 25101 26703 30659 35991 38502 50202 53406 57753 61318 64147 71982 75303 80109 86459 91977 107973 115506 119927 128294 150606 160218 172918 183954 192441 215946 225909 239854 259377 275931 359781 384882 451818 518754 551862 577323 719562 778131 827793 1079343 1154646 1556262 1655586 1731969 1988557 2158686 2334393 2483379 2758321 3238029 3463938 3717737 3977114 4668786 4966758 5195907 5516642 5965671 6476058 7003179 7435474 8274963 9714087 10391814 11153211 11931342 14006358 16549926 17897013 19428174 22306422 24824889 33459633 35794026 49649778 53691039 66919266 74474667 85507951 100378899 107382078 148949334 161073117 171015902 200757798 223424001 256523853 301136697 322146234 446848002 513047706 602273394 769571559 1539143118 2308714677 4617429354 6926144031 13852288062