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48382778763441 = 3239713541219917
BaseRepresentation
bin10110000000000111111100…
…10101110110100010110001
320100022100102001002022202100
423000003332111312202301
522320200412330412231
6250522424113411013
713122353234626233
oct1300037625664261
9210270361068670
1048382778763441
11144640263037a1
125514aa6869a69
1320cc626a25345
14bd3a4bacc253
1558d8317521e6
hex2c00fe5768b1

48382778763441 has 12 divisors (see below), whose sum is σ = 70062271855732. Its totient is φ = 32173938520416.

The previous prime is 48382778763379. The next prime is 48382778763481. The reversal of 48382778763441 is 14436787728384.

It is a happy number.

48382778763441 is a `hidden beast` number, since 4 + 8 + 3 + 8 + 277 + 8 + 7 + 6 + 344 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23821437479841 + 24561341283600 = 4880721^2 + 4955940^2 .

It is not a de Polignac number, because 48382778763441 - 211 = 48382778761393 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 48382778763441.

It is not an unprimeable number, because it can be changed into a prime (48382778763481) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6770606386 + ... + 6770613531.

Almost surely, 248382778763441 is an apocalyptic number.

It is an amenable number.

48382778763441 is a deficient number, since it is larger than the sum of its proper divisors (21679493092291).

48382778763441 is a wasteful number, since it uses less digits than its factorization.

48382778763441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13541220320 (or 13541220317 counting only the distinct ones).

The product of its digits is 1213857792, while the sum is 72.

The spelling of 48382778763441 in words is "forty-eight trillion, three hundred eighty-two billion, seven hundred seventy-eight million, seven hundred sixty-three thousand, four hundred forty-one".

Divisors: 1 3 9 397 1191 3573 13541219917 40623659751 121870979253 5375864307049 16127592921147 48382778763441