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1066346034260 = 2251341109917729
BaseRepresentation
bin11111000010001110010…
…11010011010001010100
310202221102111012011200012
433201013023103101110
5114432334041044020
62133512252135352
7140020022511233
oct17410713232124
93687374164605
101066346034260
1138126459a471
121527b9167558
137972c6b9890
143987ba62b1a
151cb111a57c5
hexf8472d3454

1066346034260 has 96 divisors (see below), whose sum is σ = 2493068608800. Its totient is φ = 380600156160.

The previous prime is 1066346034203. The next prime is 1066346034307. The reversal of 1066346034260 is 624306436601.

It can be written as a sum of positive squares in 16 ways, for example, as 783302881936 + 283043152324 = 885044^2 + 532018^2 .

It is a super-2 number, since 2×10663460342602 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 703076 + ... + 1620804.

It is an arithmetic number, because the mean of its divisors is an integer number (25969464675).

Almost surely, 21066346034260 is an apocalyptic number.

1066346034260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1066346034260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1246534304400).

1066346034260 is an abundant number, since it is smaller than the sum of its proper divisors (1426722574540).

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

1066346034260 is a wasteful number, since it uses less digits than its factorization.

1066346034260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917901 (or 917899 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 41.

The spelling of 1066346034260 in words is "one trillion, sixty-six billion, three hundred forty-six million, thirty-four thousand, two hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 41 52 65 82 109 130 164 205 218 260 410 436 533 545 820 1066 1090 1417 2132 2180 2665 2834 4469 5330 5668 7085 8938 10660 14170 17876 22345 28340 44690 58097 89380 116194 232388 290485 580970 917729 1161940 1835458 3670916 4588645 9177290 11930477 18354580 23860954 37626889 47721908 59652385 75253778 100032461 119304770 150507556 188134445 200064922 238609540 376268890 400129844 489149557 500162305 752537780 978299114 1000324610 1300421993 1956598228 2000649220 2445747785 2600843986 4101330901 4891495570 5201687972 6502109965 8202661802 9782991140 13004219930 16405323604 20506654505 26008439860 41013309010 53317301713 82026618020 106634603426 213269206852 266586508565 533173017130 1066346034260