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640684808486046 = 232371231781469701
BaseRepresentation
bin1001000110101100110000111…
…0011011000011110010011110
310010000110212110212210201022200
42101223030032123003302132
51132433434441433023141
610150342312055152330
7251643643546366242
oct22153141633036236
93100425425721280
10640684808486046
111761619a08543a5
125ba350120756a6
132166541a11c6bc
14b42d44b214422
154e10a3744cab6
hex246b30e6c3c9e

640684808486046 has 48 divisors (see below), whose sum is σ = 1426826137184448. Its totient is φ = 207620869896000.

The previous prime is 640684808486039. The next prime is 640684808486143.

It is a happy number.

640684808486046 is a `hidden beast` number, since 6 + 4 + 0 + 6 + 8 + 4 + 8 + 0 + 8 + 4 + 8 + 604 + 6 = 666.

640684808486046 is nontrivially palindromic in base 10.

640684808486046 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6406848084860462 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 389915005 + ... + 391554696.

It is an arithmetic number, because the mean of its divisors is an integer number (29725544524676).

Almost surely, 2640684808486046 is an apocalyptic number.

640684808486046 is an abundant number, since it is smaller than the sum of its proper divisors (786141328698402).

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

640684808486046 is a wasteful number, since it uses less digits than its factorization.

640684808486046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781470977 (or 781470974 counting only the distinct ones).

The product of its (nonzero) digits is 1358954496, while the sum is 72.

The spelling of 640684808486046 in words is "six hundred forty trillion, six hundred eighty-four billion, eight hundred eight million, four hundred eighty-six thousand, forty-six".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 1231 2462 3693 7386 11079 22158 45547 91094 136641 273282 409923 819846 781469701 1562939402 2344409103 4688818206 7033227309 14066454618 28914378937 57828757874 86743136811 173486273622 260229410433 520458820866 961989201931 1923978403862 2885967605793 5771935211586 8657902817379 17315805634758 35593600471447 71187200942894 106780801414341 213561602828682 320342404243023 640684808486046