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68785458786 = 232112171857761
BaseRepresentation
bin100000000001111101…
…1101100111001100010
320120112202222100112200
41000003323230321202
52111333034140121
651333303034030
74653365516112
oct1000373547142
9216482870480
1068785458786
1127198664300
12113b813b916
136642931605
1434875bd042
151bc8ba1a26
hex1003eece62

68785458786 has 72 divisors (see below), whose sum is σ = 173451806892. Its totient is φ = 19617945600.

The previous prime is 68785458773. The next prime is 68785458787.

68785458786 is a `hidden beast` number, since 6 + 8 + 7 + 8 + 545 + 8 + 78 + 6 = 666.

68785458786 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 66987274761 + 1798184025 = 258819^2 + 42405^2 .

It is not an unprimeable number, because it can be changed into a prime (68785458787) 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 35 ways as a sum of consecutive naturals, for example, 891855 + ... + 965906.

Almost surely, 268785458786 is an apocalyptic number.

68785458786 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

68785458786 is an abundant number, since it is smaller than the sum of its proper divisors (104666348106).

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

68785458786 is a wasteful number, since it uses less digits than its factorization.

68785458786 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1857808 (or 1857794 counting only the distinct ones).

The product of its digits is 722534400, while the sum is 72.

The spelling of 68785458786 in words is "sixty-eight billion, seven hundred eighty-five million, four hundred fifty-eight thousand, seven hundred eighty-six".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 121 153 187 198 242 306 363 374 561 726 1089 1122 1683 2057 2178 3366 4114 6171 12342 18513 37026 1857761 3715522 5573283 11146566 16719849 20435371 31581937 33439698 40870742 61306113 63163874 94745811 122612226 183918339 189491622 224789081 284237433 347401307 367836678 449578162 568474866 674367243 694802614 1042203921 1348734486 2023101729 2084407842 3126611763 3821414377 4046203458 6253223526 7642828754 11464243131 22928486262 34392729393 68785458786