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68759295786 = 232171572575569
BaseRepresentation
bin100000000001001011…
…1111001011100101010
320120110221202010122200
41000002113321130222
52111304334431121
651330530201030
74652630241126
oct1000227713452
9216427663580
1068759295786
1127184914695
12113ab423176
13663a3a0c4c
143483d2c586
151bc6734a26
hex10025f972a

68759295786 has 96 divisors (see below), whose sum is σ = 159392946960. Its totient is φ = 21346910208.

The previous prime is 68759295779. The next prime is 68759295791.

68759295786 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 47663185761 + 21096110025 = 218319^2 + 145245^2 .

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, 12344010 + ... + 12349578.

Almost surely, 268759295786 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68759295786, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79696473480).

68759295786 is an abundant number, since it is smaller than the sum of its proper divisors (90633651174).

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

68759295786 is a wasteful number, since it uses less digits than its factorization.

68759295786 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6008 (or 6005 counting only the distinct ones).

The product of its digits is 457228800, while the sum is 72.

The spelling of 68759295786 in words is "sixty-eight billion, seven hundred fifty-nine million, two hundred ninety-five thousand, seven hundred eighty-six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 157 257 306 314 471 514 771 942 1413 1542 2313 2669 2826 4369 4626 5338 5569 8007 8738 11138 13107 16014 16707 24021 26214 33414 39321 40349 48042 50121 78642 80698 94673 100242 121047 189346 242094 284019 363141 568038 685933 726282 852057 874333 1371866 1431233 1704114 1748666 2057799 2622999 2862466 4115598 4293699 5245998 6173397 7868997 8587398 12346794 12881097 14863661 15737994 24330961 25762194 29727322 44590983 48661922 72992883 89181966 133772949 145985766 218978649 224703581 267545898 437957298 449407162 674110743 1348221486 2022332229 3819960877 4044664458 7639921754 11459882631 22919765262 34379647893 68759295786