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106060006000060 = 22575967191644693
BaseRepresentation
bin11000000111011000000100…
…111110111000010110111100
3111220112020102011201201110121
4120013120010332320112330
5102400141343014000220
61013323143310344324
731224403551221140
oct3007300476702674
9456466364651417
10106060006000060
1130880883454612
12ba8b1814bb0a4
134724553253c48
141c294901b7220
15c3dce6792eaa
hex607604fb85bc

106060006000060 has 96 divisors (see below), whose sum is σ = 262721878110720. Its totient is φ = 35213562286848.

The previous prime is 106060006000043. The next prime is 106060006000073. The reversal of 106060006000060 is 60000600060601.

It is a super-2 number, since 2×1060600060000602 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106060005999989 and 106060006000034.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95268927 + ... + 96375766.

It is an arithmetic number, because the mean of its divisors is an integer number (2736686230320).

Almost surely, 2106060006000060 is an apocalyptic number.

106060006000060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106060006000060 is an abundant number, since it is smaller than the sum of its proper divisors (156661872110660).

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

106060006000060 is a wasteful number, since it uses less digits than its factorization.

106060006000060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191644835 (or 191644833 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 106060006000060 its reverse (60000600060601), we get a palindrome (166060606060661).

The spelling of 106060006000060 in words is "one hundred six trillion, sixty billion, six million, sixty", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 14 20 28 35 59 67 70 118 134 140 236 268 295 335 413 469 590 670 826 938 1180 1340 1652 1876 2065 2345 3953 4130 4690 7906 8260 9380 15812 19765 27671 39530 55342 79060 110684 138355 276710 553420 191644693 383289386 766578772 958223465 1341512851 1916446930 2683025702 3832893860 5366051404 6707564255 11307036887 12840194431 13415128510 22614073774 25680388862 26830257020 45228147548 51360777724 56535184435 64200972155 79149258209 89881361017 113070368870 128401944310 158298516418 179762722034 226140737740 256803888620 316597032836 359525444068 395746291045 449406805085 757571471429 791492582090 898813610170 1515142942858 1582985164180 1797627220340 3030285885716 3787857357145 5303000300003 7575714714290 10606000600006 15151429428580 21212001200012 26515001500015 53030003000030 106060006000060