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68052659805 = 325131031278893
BaseRepresentation
bin111111011000010000…
…010010111001011101
320111122201002022022200
4333120100102321131
52103332440103210
651132444402113
74626260030664
oct773020227135
9214581068280
1068052659805
1126951a52609
1211232846339
136556b7a250
143418147ddb
151b846a10c0
hexfd8412e5d

68052659805 has 96 divisors (see below), whose sum is σ = 129289445376. Its totient is φ = 32912635392.

The previous prime is 68052659783. The next prime is 68052659809. The reversal of 68052659805 is 50895625086.

68052659805 is a `hidden beast` number, since 68 + 0 + 526 + 59 + 8 + 0 + 5 = 666.

It is not a de Polignac number, because 68052659805 - 210 = 68052658781 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68052659809) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 7647939 + ... + 7656831.

It is an arithmetic number, because the mean of its divisors is an integer number (1346765056).

Almost surely, 268052659805 is an apocalyptic number.

68052659805 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

68052659805 is a deficient number, since it is larger than the sum of its proper divisors (61236785571).

68052659805 is a wasteful number, since it uses less digits than its factorization.

68052659805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9147 (or 9144 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 68052659805 in words is "sixty-eight billion, fifty-two million, six hundred fifty-nine thousand, eight hundred five".

Divisors: 1 3 5 9 13 15 39 45 65 103 117 127 195 309 381 515 585 635 927 1143 1339 1545 1651 1905 4017 4635 4953 5715 6695 8255 8893 12051 13081 14859 20085 24765 26679 39243 44465 60255 65405 74295 80037 115609 117729 133395 170053 196215 346827 400185 510159 578045 588645 850265 915979 1040481 1129411 1530477 1734135 2550795 2747937 3388233 4579895 5202405 5647055 7652385 8243811 10164699 11907727 13739685 14682343 16941165 35723181 41219055 44047029 50823495 59538635 73411715 107169543 116329333 132141087 178615905 220235145 348987999 535847715 581646665 660705435 1046963997 1512281329 1744939995 4536843987 5234819985 7561406645 13610531961 22684219935 68052659805