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40653986256 = 243213127307557
BaseRepresentation
bin100101110111001010…
…101001100111010000
310212221020122110222200
4211313022221213100
51131224410030011
630402020003200
72636305116162
oct456712514720
9125836573880
1040653986256
111627212a654
127a66b30500
133aab700a90
141d793a8932
1510ce11a856
hex9772a99d0

40653986256 has 240 divisors, whose sum is σ = 124116056064. Its totient is φ = 12347790336.

The previous prime is 40653986249. The next prime is 40653986287. The reversal of 40653986256 is 65268935604.

40653986256 is a `hidden beast` number, since 4 + 0 + 6 + 5 + 3 + 9 + 8 + 625 + 6 = 666.

40653986256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72987130 + ... + 72987686.

Almost surely, 240653986256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40653986256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62058028032).

40653986256 is an abundant number, since it is smaller than the sum of its proper divisors (83462069808).

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

40653986256 is a wasteful number, since it uses less digits than its factorization.

40653986256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 40653986256 in words is "forty billion, six hundred fifty-three million, nine hundred eighty-six thousand, two hundred fifty-six".