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28580945481 = 321124721092
BaseRepresentation
bin11010100111100011…
…101001111001001001
32201202212002110112100
4122213203221321021
5432013210223411
621044020504013
72031156012444
oct324743517111
981685073470
1028580945481
1111137220400
12565784b009
1329063a467a
141551bb665b
15b2426d456
hex6a78e9e49

28580945481 has 81 divisors (see below), whose sum is σ = 46793114823. Its totient is φ = 16797702240.

The previous prime is 28580945441. The next prime is 28580945489. The reversal of 28580945481 is 18454908582.

The square root of 28580945481 is 169059.

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

28580945481 is a `hidden beast` number, since 2 + 8 + 5 + 8 + 0 + 94 + 548 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19920781881 + 8660163600 = 141141^2 + 93060^2 .

It is a de Polignac number, because none of the positive numbers 2k-28580945481 is a prime.

It is a super-2 number, since 2×285809454812 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (28580945489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 262210455 + ... + 262210563.

Almost surely, 228580945481 is an apocalyptic number.

28580945481 is the 169059-th square number.

28580945481 is the 84530-th centered octagonal number.

It is an amenable number.

28580945481 is a deficient number, since it is larger than the sum of its proper divisors (18212169342).

28580945481 is a wasteful number, since it uses less digits than its factorization.

28580945481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 28580945481 in words is "twenty-eight billion, five hundred eighty million, nine hundred forty-five thousand, four hundred eighty-one".

Divisors: 1 3 9 11 33 47 99 109 121 141 327 363 423 517 981 1089 1199 1551 2209 3597 4653 5123 5687 6627 10791 11881 13189 15369 17061 19881 24299 35643 39567 46107 51183 56353 72897 106929 118701 130691 169059 218691 240781 267289 392073 507177 558407 619883 722343 801867 1176219 1437601 1675221 1859649 2167029 2405601 2648591 4312803 5025663 5578947 6142477 7945773 12938409 18427431 23837319 26245129 29134501 55282293 67567247 78735387 87403503 202701741 236206161 262210509 288696419 608105223 866089257 2598267771 3175660609 9526981827 28580945481