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67148667148660 = 22517330135982373
BaseRepresentation
bin11110100010010010001000…
…11100111101100101110100
322210202100110001211010220121
433101021010130331211310
532300130432242224120
6354451401040541324
720100221366214136
oct1721110434754564
9283670401733817
1067148667148660
111a439654052669
127645a40921844
132b61127588526
1412820272cb056
157b6a56d525aa
hex3d124473d974

67148667148660 has 48 divisors (see below), whose sum is σ = 149311583998416. Its totient is φ = 25278728251392.

The previous prime is 67148667148571. The next prime is 67148667148679. The reversal of 67148667148660 is 6684176684176.

It is a happy number.

67148667148660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 10322006732944 + 56826660415716 = 3212788^2 + 7538346^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 67148667148660.

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 15 ways as a sum of consecutive naturals, for example, 8233234 + ... + 14215606.

It is an arithmetic number, because the mean of its divisors is an integer number (3110657999967).

Almost surely, 267148667148660 is an apocalyptic number.

It is an amenable number.

67148667148660 is an abundant number, since it is smaller than the sum of its proper divisors (82162916849756).

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

67148667148660 is a wasteful number, since it uses less digits than its factorization.

67148667148660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6015412 (or 6015410 counting only the distinct ones).

The product of its (nonzero) digits is 390168576, while the sum is 70.

The spelling of 67148667148660 in words is "sixty-seven trillion, one hundred forty-eight billion, six hundred sixty-seven million, one hundred forty-eight thousand, six hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 33013 66026 132052 165065 330130 561221 660260 1122442 2244884 2806105 5612210 5982373 11224420 11964746 23929492 29911865 59823730 101700341 119647460 203400682 406801364 508501705 1017003410 2034006820 197496079849 394992159698 789984319396 987480399245 1974960798490 3357433357433 3949921596980 6714866714866 13429733429732 16787166787165 33574333574330 67148667148660