Search a number
-
+
65985420048723 = 3373371035991711
BaseRepresentation
bin11110000000011011011011…
…00001011011100101010011
322122122010220101011210201000
433000031231201123211103
532122101120013024343
6352201141122313043
716620201136053210
oct1700155541334523
9278563811153630
1065985420048723
111a03029442134a
1274984bb7b8783
132aa8524403186
1412419d6004b07
15796673a49ed3
hex3c036d85b953

65985420048723 has 32 divisors (see below), whose sum is σ = 112052863569920. Its totient is φ = 37594067172480.

The previous prime is 65985420048721. The next prime is 65985420048731. The reversal of 65985420048723 is 32784002458956.

65985420048723 is a `hidden beast` number, since 6 + 5 + 9 + 8 + 542 + 0 + 0 + 4 + 87 + 2 + 3 = 666.

65985420048723 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 65985420048723 - 21 = 65985420048721 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (65985420048721) 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 31 ways as a sum of consecutive naturals, for example, 517932163 + ... + 518059548.

It is an arithmetic number, because the mean of its divisors is an integer number (3501651986560).

Almost surely, 265985420048723 is an apocalyptic number.

65985420048723 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

65985420048723 is a deficient number, since it is larger than the sum of its proper divisors (46067443521197).

65985420048723 is a wasteful number, since it uses less digits than its factorization.

65985420048723 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035992064 (or 1035992058 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 65985420048723 in words is "sixty-five trillion, nine hundred eighty-five billion, four hundred twenty million, forty-eight thousand, seven hundred twenty-three".

Divisors: 1 3 7 9 21 27 63 189 337 1011 2359 3033 7077 9099 21231 63693 1035991711 3107975133 7251941977 9323925399 21755825931 27971776197 65267477793 195802433379 349129206607 1047387619821 2443904446249 3142162859463 7331713338747 9426488578389 21995140016241 65985420048723