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45036031170321 = 321792124972
BaseRepresentation
bin10100011110101110001001…
…01000111101011100010001
312220110101212110001020102100
422033113010220331130101
521400332242434422241
6235441133405511013
712325513556514522
oct1217270450753421
9186411773036370
1045036031170321
1113393745566144
12507434b872469
131c18b583b4449
14b19a812b0849
155317557aa9b6
hex28f5c4a3d711

45036031170321 has 27 divisors (see below), whose sum is σ = 65422729619611. Its totient is φ = 29853899744064.

The previous prime is 45036031170307. The next prime is 45036031170409. The reversal of 45036031170321 is 12307113063054.

The square root of 45036031170321 is 6710889.

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

45036031170321 is a `hidden beast` number, since 4 + 5 + 0 + 3 + 603 + 1 + 17 + 0 + 32 + 1 = 666.

45036031170321 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 only one way, i.e., 24063881195025 + 20972149975296 = 4905495^2 + 4579536^2 .

It is not a de Polignac number, because 45036031170321 - 211 = 45036031168273 is a prime.

It is a super-2 number, since 2×450360311703212 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45036031150321) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 3603741145 + ... + 3603753641.

Almost surely, 245036031170321 is an apocalyptic number.

45036031170321 is the 6710889-th square number.

45036031170321 is the 3355445-th centered octagonal number.

It is an amenable number.

45036031170321 is a deficient number, since it is larger than the sum of its proper divisors (20386698449290).

45036031170321 is an frugal number, since it uses more digits than its factorization.

45036031170321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25358 (or 12679 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

It can be divided in two parts, 4503603 and 1170321, that added together give a square (5673924 = 23822).

The spelling of 45036031170321 in words is "forty-five trillion, thirty-six billion, thirty-one million, one hundred seventy thousand, three hundred twenty-one".

Divisors: 1 3 9 179 537 1611 12497 32041 37491 96123 112473 288369 2236963 6710889 20132667 156175009 400416377 468525027 1201249131 1405575081 3603747393 27955326611 83865979833 251597939499 5004003463369 15012010390107 45036031170321