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64056665046 = 23112113780817
BaseRepresentation
bin111011101010000100…
…110010001111010110
320010100012220202000210
4323222010302033112
52022142001240141
645232140350250
74425245445333
oct735204621726
9203305822023
1064056665046
1125191354600
12104b8545386
13606b02b8ca
14315955798a
1519ed96c916
hexeea1323d6

64056665046 has 48 divisors (see below), whose sum is σ = 142065150192. Its totient is φ = 19239306240.

The previous prime is 64056665027. The next prime is 64056665069.

It is a happy number.

64056665046 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 64056664986 and 64056665004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 308371 + ... + 472446.

It is an arithmetic number, because the mean of its divisors is an integer number (2959690629).

Almost surely, 264056665046 is an apocalyptic number.

64056665046 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

64056665046 is an abundant number, since it is smaller than the sum of its proper divisors (78008485146).

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

64056665046 is a wasteful number, since it uses less digits than its factorization.

64056665046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780957 (or 780946 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 48.

The spelling of 64056665046 in words is "sixty-four billion, fifty-six million, six hundred sixty-five thousand, forty-six".

Divisors: 1 2 3 6 11 22 33 66 113 121 226 242 339 363 678 726 1243 2486 3729 7458 13673 27346 41019 82038 780817 1561634 2342451 4684902 8588987 17177974 25766961 51533922 88232321 94478857 176464642 188957714 264696963 283436571 529393926 566873142 970555531 1941111062 2911666593 5823333186 10676110841 21352221682 32028332523 64056665046