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8638338337641 = 321767933831109
BaseRepresentation
bin111110110110100010100…
…0101101000101101101001
31010120211001122120210121200
41331231011011220231221
52113012304103301031
630212221533554413
71551046035235335
oct175550505505551
933524048523550
108638338337641
1128305538772a1
12b76202045a09
134a879028b64c
1421c1525487c5
15eea8298a8e6
hex7db45168b69

8638338337641 has 24 divisors (see below), whose sum is σ = 13211786657160. Its totient is φ = 5420047550976.

The previous prime is 8638338337627. The next prime is 8638338337669. The reversal of 8638338337641 is 1467338338368.

It can be written as a sum of positive squares in 4 ways, for example, as 1961178977241 + 6677159360400 = 1400421^2 + 2584020^2 .

It is not a de Polignac number, because 8638338337641 - 213 = 8638338329449 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8638338337691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9978195 + ... + 10809303.

It is an arithmetic number, because the mean of its divisors is an integer number (550491110715).

Almost surely, 28638338337641 is an apocalyptic number.

It is an amenable number.

8638338337641 is a deficient number, since it is larger than the sum of its proper divisors (4573448319519).

8638338337641 is a wasteful number, since it uses less digits than its factorization.

8638338337641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899065 (or 899062 counting only the distinct ones).

The product of its digits is 125411328, while the sum is 63.

The spelling of 8638338337641 in words is "eight trillion, six hundred thirty-eight billion, three hundred thirty-eight million, three hundred thirty-seven thousand, six hundred forty-one".

Divisors: 1 3 9 17 51 153 67933 203799 611397 831109 1154861 2493327 3464583 7479981 10393749 14128853 42386559 127159677 56459727697 169379183091 508137549273 959815370849 2879446112547 8638338337641