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1346066360401 = 72107215492
BaseRepresentation
bin10011100101100111110…
…011101010100001010001
311202200102200100000202111
4103211213303222201101
5134023220442013101
62510212505345321
7166151531165200
oct23454763524121
94680380300674
101346066360401
11479955406624
12198a62a98241
1399c19c0b769
14492156bb237
15250332a2251
hex13967cea851

1346066360401 has 27 divisors (see below), whose sum is σ = 1581624070299. Its totient is φ = 1142250370128.

The previous prime is 1346066360393. The next prime is 1346066360417. The reversal of 1346066360401 is 1040636606431.

The square root of 1346066360401 is 1160201.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 455421172801 + 890645187600 = 674849^2 + 943740^2 .

It is not a de Polignac number, because 1346066360401 - 23 = 1346066360393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1346066360701) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 868989775 + ... + 868991323.

Almost surely, 21346066360401 is an apocalyptic number.

1346066360401 is the 1160201-st square number.

1346066360401 is the 580101-st centered octagonal number.

It is an amenable number.

1346066360401 is a deficient number, since it is larger than the sum of its proper divisors (235557709898).

1346066360401 is an frugal number, since it uses more digits than its factorization.

1346066360401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3326 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 40.

The spelling of 1346066360401 in words is "one trillion, three hundred forty-six billion, sixty-six million, three hundred sixty thousand, four hundred one".

Divisors: 1 7 49 107 749 1549 5243 10843 11449 75901 80143 165743 561001 1160201 2399401 8121407 16795807 17734501 117570649 124141507 256735907 868990549 1797151349 12580059443 27470742049 192295194343 1346066360401