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2753475379201 = 172989148142373
BaseRepresentation
bin101000000100010111111…
…011000000000000000001
3100202020012102200222100001
4220010113323000000001
5330103104144113301
65504532405200001
7402634454361151
oct50042773000001
910666172628301
102753475379201
11971819083348
12385785400001
1316c861799c11
14973a9cb4761
154b956ac1c01
hex28117ec0001

2753475379201 has 32 divisors (see below), whose sum is σ = 3051995824800. Its totient is φ = 2472301117440.

The previous prime is 2753475379189. The next prime is 2753475379211. The reversal of 2753475379201 is 1029735743572.

It can be written as a sum of positive squares in 16 ways, for example, as 1161601106176 + 1591874273025 = 1077776^2 + 1261695^2 .

It is a cyclic number.

It is not a de Polignac number, because 2753475379201 - 211 = 2753475377153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2753475379211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64960651 + ... + 65003023.

It is an arithmetic number, because the mean of its divisors is an integer number (95374869525).

Almost surely, 22753475379201 is an apocalyptic number.

It is an amenable number.

2753475379201 is a deficient number, since it is larger than the sum of its proper divisors (298520445599).

2753475379201 is a wasteful number, since it uses less digits than its factorization.

2753475379201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43989.

The product of its (nonzero) digits is 11113200, while the sum is 55.

The spelling of 2753475379201 in words is "two trillion, seven hundred fifty-three billion, four hundred seventy-five million, three hundred seventy-nine thousand, two hundred one".

Divisors: 1 17 29 89 493 1481 1513 2581 25177 42373 42949 43877 131809 720341 730133 1228817 2240753 3771197 3822461 20889889 62754413 64110349 64981837 109364713 1066825021 1819877977 1859200121 5585142757 30937925609 94947426869 161969139953 2753475379201