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485999996769 = 32728923732
BaseRepresentation
bin1110001001001111101…
…10110110111101100001
31201110110011201212020100
413010213312312331201
530430311444344034
61011133150333013
750053350545400
oct7044766667541
91643404655210
10485999996769
111781253678a1
127a2344ba169
1336aa283a5b1
1419745b49637
15c9969ee099
hex7127db6f61

485999996769 has 81 divisors (see below), whose sum is σ = 828110872953. Its totient is φ = 273857721984.

The previous prime is 485999996749. The next prime is 485999996851. The reversal of 485999996769 is 967699999584.

The square root of 485999996769 is 697137.

It is a perfect power (a square), and thus also a powerful number.

485999996769 is a `hidden beast` number, since 4 + 8 + 599 + 9 + 9 + 9 + 6 + 7 + 6 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 39257478225 + 446742518544 = 198135^2 + 668388^2 .

It is not a de Polignac number, because 485999996769 - 213 = 485999988577 is a prime.

It is a super-2 number, since 2×4859999967692 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (485999996749) 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 80 ways as a sum of consecutive naturals, for example, 1302948867 + ... + 1302949239.

Almost surely, 2485999996769 is an apocalyptic number.

485999996769 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

485999996769 is the 697137-th square number.

485999996769 is the 348569-th centered octagonal number.

It is an amenable number.

485999996769 is a deficient number, since it is larger than the sum of its proper divisors (342110876184).

485999996769 is an frugal number, since it uses more digits than its factorization.

485999996769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 472 counting only the distinct ones).

The product of its digits is 21427701120, while the sum is 90.

The spelling of 485999996769 in words is "four hundred eighty-five billion, nine hundred ninety-nine million, nine hundred ninety-six thousand, seven hundred sixty-nine".

Divisors: 1 3 7 9 21 49 63 89 147 267 373 441 623 801 1119 1869 2611 3357 4361 5607 7833 7921 13083 18277 23499 23763 33197 39249 54831 55447 71289 99591 139129 164493 166341 232379 298773 388129 417387 499023 697137 973903 1164387 1252161 1626653 2091411 2921709 2954533 3493161 4879959 6817321 8765127 8863599 12382481 14639877 20451963 20681731 26590797 37147443 61355889 62045193 86677367 111442329 144772117 186135579 260032101 434316351 606741569 780096303 1102040809 1302949053 1820224707 3306122427 5460674121 7714285663 9918367281 23142856989 53999999641 69428570967 161999998923 485999996769