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28256134922500 = 225441225932
BaseRepresentation
bin1100110110010111001001…
…11000101000000100000100
310201001021000121220010012011
412123023210320220010010
512200422031020010000
6140032404510304004
75644303235661262
oct633134470500404
9121037017803164
1028256134922500
1190043a5589601
12320428a4b8004
13129c707c82a24
146d9865ddd432
153400185002ba
hex19b2e4e28104

28256134922500 has 135 divisors (see below), whose sum is σ = 63358794338763. Its totient is φ = 11022531840000.

The previous prime is 28256134922489. The next prime is 28256134922503. The reversal of 28256134922500 is 522943165282.

The square root of 28256134922500 is 5315650.

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

It can be written as a sum of positive squares in 22 ways, for example, as 15317783474436 + 12938351448064 = 3913794^2 + 3596992^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (28256134922503) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 10897081204 + ... + 10897083796.

Almost surely, 228256134922500 is an apocalyptic number.

28256134922500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

28256134922500 is the 5315650-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28256134922500

28256134922500 is an abundant number, since it is smaller than the sum of its proper divisors (35102659416263).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28256134922500 is an frugal number, since it uses more digits than its factorization.

28256134922500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5292 (or 2641 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 49.

The spelling of 28256134922500 in words is "twenty-eight trillion, two hundred fifty-six billion, one hundred thirty-four million, nine hundred twenty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 125 164 205 250 410 500 625 820 1025 1250 1681 2050 2500 2593 3362 4100 5125 5186 6724 8405 10250 10372 12965 16810 20500 25625 25930 33620 42025 51250 51860 64825 84050 102500 106313 129650 168100 210125 212626 259300 324125 420250 425252 531565 648250 840500 1050625 1063130 1296500 1620625 2101250 2126260 2657825 3241250 4202500 4358833 5315650 6482500 6723649 8717666 10631300 13289125 13447298 17435332 21794165 26578250 26894596 33618245 43588330 53156500 66445625 67236490 87176660 108970825 132891250 134472980 168091225 217941650 265782500 275669609 336182450 435883300 544854125 551339218 672364900 840456125 1089708250 1102678436 1378348045 1680912250 2179416500 2724270625 2756696090 3361824500 4202280625 5448541250 5513392180 6891740225 8404561250 10897082500 11302453969 13783480450 16809122500 22604907938 27566960900 34458701125 45209815876 56512269845 68917402250 113024539690 137834804500 172293505625 226049079380 282561349225 344587011250 565122698450 689174022500 1130245396900 1412806746125 2825613492250 5651226984500 7064033730625 14128067461250 28256134922500