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40635866268 = 22331133329717
BaseRepresentation
bin100101110110000101…
…100001110010011100
310212212222112220001000
4211312011201302130
51131210240210033
630400131350300
72635665110214
oct456605416234
9125788486030
1040635866268
1116262983858
127a60a52390
133aa7a282aa
141d76c0d244
1510cc73ba13
hex976161c9c

40635866268 has 48 divisors (see below), whose sum is σ = 106284598560. Its totient is φ = 13425414912.

The previous prime is 40635866261. The next prime is 40635866269. The reversal of 40635866268 is 86266853604.

It is a happy number.

40635866268 is a `hidden beast` number, since 4 + 0 + 6 + 3 + 5 + 8 + 6 + 626 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40635866261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1652655 + ... + 1677062.

It is an arithmetic number, because the mean of its divisors is an integer number (2214262470).

Almost surely, 240635866268 is an apocalyptic number.

It is an amenable number.

40635866268 is an abundant number, since it is smaller than the sum of its proper divisors (65648732292).

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

40635866268 is a wasteful number, since it uses less digits than its factorization.

40635866268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3329843 (or 3329835 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 40635866268 in words is "forty billion, six hundred thirty-five million, eight hundred sixty-six thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 113 226 339 452 678 1017 1356 2034 3051 4068 6102 12204 3329717 6659434 9989151 13318868 19978302 29967453 39956604 59934906 89902359 119869812 179804718 359609436 376258021 752516042 1128774063 1505032084 2257548126 3386322189 4515096252 6772644378 10158966567 13545288756 20317933134 40635866268