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7108361442 = 2337133146663
BaseRepresentation
bin1101001111011000…
…01111110011100010
3200100101122011202000
412213230033303202
5104024220031232
63133204504430
7341103034560
oct64754176342
920311564660
107108361442
113018537186
1214646ab116
138938b6540
144b60c6a30
152b90c127c
hex1a7b0fce2

7108361442 has 128 divisors (see below), whose sum is σ = 20069253120. Its totient is φ = 1814218560.

The previous prime is 7108361423. The next prime is 7108361471. The reversal of 7108361442 is 2441638017.

It is a super-2 number, since 2×71083614422 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7108361397 and 7108361406.

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 63 ways as a sum of consecutive naturals, for example, 129003 + ... + 175665.

It is an arithmetic number, because the mean of its divisors is an integer number (156791040).

Almost surely, 27108361442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7108361442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10034626560).

7108361442 is an abundant number, since it is smaller than the sum of its proper divisors (12960891678).

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

7108361442 is a wasteful number, since it uses less digits than its factorization.

7108361442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46725 (or 46719 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 7108361442 is about 84311.0991625658. The cubic root of 7108361442 is about 1922.7515383049.

Adding to 7108361442 its reverse (2441638017), we get a palindrome (9549999459).

The spelling of 7108361442 in words is "seven billion, one hundred eight million, three hundred sixty-one thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 31 39 42 54 62 63 78 91 93 117 126 182 186 189 217 234 273 279 351 378 403 434 546 558 651 702 806 819 837 1209 1302 1638 1674 1953 2418 2457 2821 3627 3906 4914 5642 5859 7254 8463 10881 11718 16926 21762 25389 46663 50778 76167 93326 139989 152334 279978 326641 419967 606619 653282 839934 979923 1213238 1259901 1446553 1819857 1959846 2519802 2893106 2939769 3639714 4246333 4339659 5459571 5879538 8492666 8679318 8819307 10125871 10919142 12738999 13018977 16378713 17638614 18805189 20251742 25477998 26037954 30377613 32757426 37610378 38216997 39056931 56415567 60755226 76433994 78113862 91132839 112831134 114650991 131636323 169246701 182265678 229301982 263272646 273398517 338493402 394908969 507740103 546797034 789817938 1015480206 1184726907 2369453814 3554180721 7108361442