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48136621617 = 3272109153337
BaseRepresentation
bin101100110101001010…
…101000111000110001
311121020201112202000200
4230311022220320301
51242040433342432
634040314505413
73322604350500
oct546512507061
9147221482020
1048136621617
1119461960317
1293b4a35269
1347019bc076
14248907a837
1513baebca7c
hexb352a8e31

48136621617 has 18 divisors (see below), whose sum is σ = 80882623458. Its totient is φ = 27506640672.

The previous prime is 48136621583. The next prime is 48136621669. The reversal of 48136621617 is 71612663184.

48136621617 is a `hidden beast` number, since 4 + 8 + 1 + 3 + 6 + 6 + 21 + 617 = 666.

It can be written as a sum of positive squares in only one way, i.e., 27237871521 + 20898750096 = 165039^2 + 144564^2 .

It is not a de Polignac number, because 48136621617 - 26 = 48136621553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (48136621697) 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 17 ways as a sum of consecutive naturals, for example, 54576228 + ... + 54577109.

It is an arithmetic number, because the mean of its divisors is an integer number (4493479081).

Almost surely, 248136621617 is an apocalyptic number.

It is an amenable number.

48136621617 is a deficient number, since it is larger than the sum of its proper divisors (32746001841).

48136621617 is a wasteful number, since it uses less digits than its factorization.

48136621617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109153357 (or 109153347 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The spelling of 48136621617 in words is "forty-eight billion, one hundred thirty-six million, six hundred twenty-one thousand, six hundred seventeen".

Divisors: 1 3 7 9 21 49 63 147 441 109153337 327460011 764073359 982380033 2292220077 5348513513 6876660231 16045540539 48136621617