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67148232905 = 5131033049737
BaseRepresentation
bin111110100010010110…
…001011100011001001
320102022200020122212002
4332202112023203021
52100004421423110
650503015400345
74564665363605
oct764226134311
9212280218762
1067148232905
1126528477266
121101b9830b5
1364416938c0
14336dd98505
151b3009caa5
hexfa258b8c9

67148232905 has 8 divisors (see below), whose sum is σ = 86776177992. Its totient is φ = 49586387328.

The previous prime is 67148232881. The next prime is 67148232913. The reversal of 67148232905 is 50923284176.

67148232905 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 722964544 + 66425268361 = 26888^2 + 257731^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 67148232905 - 26 = 67148232841 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 67148232905.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 516524804 + ... + 516524933.

It is an arithmetic number, because the mean of its divisors is an integer number (10847022249).

It is a 1-persistent number, because it is pandigital, but 2⋅67148232905 = 134296465810 is not.

Almost surely, 267148232905 is an apocalyptic number.

67148232905 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

67148232905 is a deficient number, since it is larger than the sum of its proper divisors (19627945087).

67148232905 is a wasteful number, since it uses less digits than its factorization.

67148232905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033049755.

The product of its (nonzero) digits is 725760, while the sum is 47.

The spelling of 67148232905 in words is "sixty-seven billion, one hundred forty-eight million, two hundred thirty-two thousand, nine hundred five".

Divisors: 1 5 13 65 1033049737 5165248685 13429646581 67148232905