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480542766639 = 313173199123593
BaseRepresentation
bin1101111111000101001…
…01001011011000101111
31200221100211222211211220
412333202211023120233
530333122422013024
61004431443114423
746501204056435
oct6774245133057
91627324884756
10480542766639
11175884956051
1279170972a13
1336413050140
1419389066d55
15c77787be79
hex6fe294b62f

480542766639 has 64 divisors (see below), whose sum is σ = 754959679488. Its totient is φ = 269062041600.

The previous prime is 480542766631. The next prime is 480542766667. The reversal of 480542766639 is 936667245084.

It is not a de Polignac number, because 480542766639 - 23 = 480542766631 is a prime.

It is a super-2 number, since 2×4805427666392 (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480542766631) 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 63 ways as a sum of consecutive naturals, for example, 20356227 + ... + 20379819.

It is an arithmetic number, because the mean of its divisors is an integer number (11796244992).

Almost surely, 2480542766639 is an apocalyptic number.

480542766639 is a deficient number, since it is larger than the sum of its proper divisors (274416912849).

480542766639 is a wasteful number, since it uses less digits than its factorization.

480542766639 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24648.

The product of its (nonzero) digits is 52254720, while the sum is 60.

The spelling of 480542766639 in words is "four hundred eighty billion, five hundred forty-two million, seven hundred sixty-six thousand, six hundred thirty-nine".

Divisors: 1 3 13 17 31 39 51 93 221 403 527 663 991 1209 1581 2973 6851 12883 16847 20553 23593 30721 38649 50541 70779 92163 219011 306709 399373 401081 522257 657033 731383 920127 1198119 1203243 1566771 2194149 5214053 6789341 9507979 12433511 15642159 20368023 23380663 28523937 37300533 70141989 161635643 303948619 397471271 484906929 724800553 911845857 1192413813 2174401659 5167126523 9422407189 12321609401 15501379569 28267221567 36964828203 160180922213 480542766639