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284811020559025 = 5271213723472
BaseRepresentation
bin100000011000010001011101…
…1101101010110001010110001
31101100102200000201102221000221
41000300202323231112022301
5244312320432230342100
62445424213201213041
7113663626411444102
oct10060427355261261
91340380021387027
10284811020559025
1182827748108974
1227b3a34a631181
13c2bc74413b51c
145048cd97823a9
1522dd8c552601a
hex10308bbb562b1

284811020559025 has 81 divisors (see below), whose sum is σ = 361886536399297. Its totient is φ = 222357321289600.

The previous prime is 284811020559019. The next prime is 284811020559031. The reversal of 284811020559025 is 520955020118482.

The square root of 284811020559025 is 16876345.

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

It is an interprime number because it is at equal distance from previous prime (284811020559019) and next prime (284811020559031).

It can be written as a sum of positive squares in 4 ways, for example, as 830958041761 + 283980062517264 = 911569^2 + 16851708^2 .

It is not a de Polignac number, because 284811020559025 - 241 = 282611997303473 is a prime.

It is a super-2 number, since 2×2848110205590252 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 820781038902 + ... + 820781039248.

Almost surely, 2284811020559025 is an apocalyptic number.

284811020559025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

284811020559025 is the 16876345-th square number.

284811020559025 is the 8438173-rd centered octagonal number.

It is an amenable number.

284811020559025 is a deficient number, since it is larger than the sum of its proper divisors (77075515840272).

284811020559025 is an frugal number, since it uses more digits than its factorization.

284811020559025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 52.

The spelling of 284811020559025 in words is "two hundred eighty-four trillion, eight hundred eleven billion, twenty million, five hundred fifty-nine thousand, twenty-five".

Divisors: 1 5 25 71 137 347 355 685 1735 1775 3425 5041 8675 9727 18769 24637 25205 47539 48635 93845 120409 123185 126025 237695 243175 469225 602045 615925 690617 1188475 1332599 1749227 3010225 3375269 3453085 6512843 6662995 8549039 8746135 16496033 16876345 17265425 32564215 33314975 42745195 43730675 82480165 84381725 94614529 162821075 213725975 239644099 412400825 462411853 473072645 606981769 1171218343 1198220495 2259956521 2312059265 2365363225 3034908845 5856091715 5991102475 11299782605 11560296325 15174544225 29280458575 32831241563 56498913025 83156502353 160456912991 164156207815 415782511765 802284564955 820781039075 2078912558825 4011422824775 11392440822361 56962204111805 284811020559025