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68052844825086 = 231121523391115737
BaseRepresentation
bin11110111100100110010011…
…01001000100100111111110
322220221210021202122011211110
433132103021221010213332
532404434211233400321
6400423013442302450
720222440635521262
oct1736231151044776
9286853252564743
1068052844825086
111a75805a851600
127771120057a26
132bc8481705404
1412b3abd4780a2
157d0325eee176
hex3de4c9a449fe

68052844825086 has 96 divisors (see below), whose sum is σ = 149749796577024. Its totient is φ = 20601955158400.

The previous prime is 68052844824983. The next prime is 68052844825157.

68052844825086 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

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, 4324377010 + ... + 4324392746.

It is an arithmetic number, because the mean of its divisors is an integer number (1559893714344).

Almost surely, 268052844825086 is an apocalyptic number.

68052844825086 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 68052844825086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74874898288512).

68052844825086 is an abundant number, since it is smaller than the sum of its proper divisors (81696951751938).

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

68052844825086 is a wasteful number, since it uses less digits than its factorization.

68052844825086 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21198 (or 21187 counting only the distinct ones).

The product of its (nonzero) digits is 235929600, while the sum is 66.

The spelling of 68052844825086 in words is "sixty-eight trillion, fifty-two billion, eight hundred forty-four million, eight hundred twenty-five thousand, eighty-six".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 1523 3046 3911 4569 7822 9138 11733 15737 16753 23466 31474 33506 43021 47211 50259 86042 94422 100518 129063 173107 184283 258126 346214 368566 473231 519321 552849 946462 1038642 1105698 1419693 1904177 2839386 3808354 5712531 5956453 11425062 11912906 17869359 23967451 35738718 47934902 61547407 65520983 71902353 123094814 131041966 143804706 184642221 196562949 263641961 369284442 393125898 527283922 677021477 720730813 790925883 1354042954 1441461626 1581851766 2031064431 2162192439 2900061571 4062128862 4324384878 5800123142 7447236247 8700184713 14894472494 17400369426 22341708741 44683417482 93736700861 187473401722 281210102583 562420205166 1031103709471 2062207418942 3093311128413 6186622256826 11342140804181 22684281608362 34026422412543 68052844825086