Search a number
-
+
5205965648112 = 243283663432121
BaseRepresentation
bin100101111000001101110…
…1110111011000011110000
3200102200111200211010122200
41023300123232323003300
51140243304201214422
615023330531103200
71045055452612215
oct113603356730360
920380450733580
105205965648112
111727923986459
12700b4b441b00
132b9bc7312428
1413dd81c93b0c
15906447952ac
hex4bc1bbbb0f0

5205965648112 has 60 divisors (see below), whose sum is σ = 14569681168224. Its totient is φ = 1735297125120.

The previous prime is 5205965648083. The next prime is 5205965648129. The reversal of 5205965648112 is 2118465695025.

5205965648112 is a `hidden beast` number, since 5 + 2 + 0 + 596 + 5 + 6 + 48 + 1 + 1 + 2 = 666.

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 11 ways as a sum of consecutive naturals, for example, 11831412 + ... + 12263532.

Almost surely, 25205965648112 is an apocalyptic number.

It is an amenable number.

5205965648112 is an abundant number, since it is smaller than the sum of its proper divisors (9363715520112).

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

5205965648112 is a wasteful number, since it uses less digits than its factorization.

5205965648112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515798 (or 515789 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 5205965648112 in words is "five trillion, two hundred five billion, nine hundred sixty-five million, six hundred forty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 83663 167326 250989 334652 432121 501978 669304 752967 864242 1003956 1296363 1338608 1505934 1728484 2007912 2592726 3011868 3456968 3889089 4015824 5185452 6023736 6913936 7778178 10370904 12047472 15556356 20741808 31112712 62225424 36152539223 72305078446 108457617669 144610156892 216915235338 289220313784 325372853007 433830470676 578440627568 650745706014 867660941352 1301491412028 1735321882704 2602982824056 5205965648112