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89838455239225 = 527411235172
BaseRepresentation
bin10100011011010100100101…
…001101100011001000111001
3102210002110202102010011001101
4110123110211031203020321
543233403124020123400
6515023114440451401
724631420445620000
oct2433244515431071
9383073672104041
1089838455239225
1126697302998400
12a0ab364a79b61
133b189649b90a4
1418282c0d77c37
15a5bd874a256a
hex51b525363239

89838455239225 has 135 divisors (see below), whose sum is σ = 142887646214061. Its totient is φ = 55987269307200.

The previous prime is 89838455239213. The next prime is 89838455239237. The reversal of 89838455239225 is 52293255483898.

The square root of 89838455239225 is 9478315.

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 (89838455239213) and next prime (89838455239237).

It can be written as a sum of positive squares in 4 ways, for example, as 16354882309689 + 73483572929536 = 4044117^2 + 8572256^2 .

It is not a de Polignac number, because 89838455239225 - 215 = 89838455206457 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 25544057167 + ... + 25544060683.

Almost surely, 289838455239225 is an apocalyptic number.

89838455239225 is the 9478315-th square number.

89838455239225 is the 4739158-th centered octagonal number.

It is an amenable number.

89838455239225 is a deficient number, since it is larger than the sum of its proper divisors (53049190974836).

89838455239225 is an frugal number, since it uses more digits than its factorization.

89838455239225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7094 (or 3540 counting only the distinct ones).

The product of its digits is 1492992000, while the sum is 73.

The spelling of 89838455239225 in words is "eighty-nine trillion, eight hundred thirty-eight billion, four hundred fifty-five million, two hundred thirty-nine thousand, two hundred twenty-five".

Divisors: 1 5 7 11 25 35 49 55 77 121 175 245 275 343 385 539 605 847 1225 1715 1925 2401 2695 3025 3517 3773 4235 5929 8575 12005 13475 17585 18865 21175 24619 26411 29645 38687 41503 60025 87925 94325 123095 132055 148225 172333 193435 207515 270809 290521 425557 615475 660275 861665 967175 1037575 1206331 1354045 1452605 1895663 2127785 2978899 4308325 6031655 6770225 7263025 8444317 9478315 10638925 12369289 13269641 14894495 20852293 30158275 42221585 47391575 61846445 66348205 74472475 86585023 92887487 104261465 136062179 145966051 211107925 309232225 331741025 432925115 464437435 521307325 606095161 680310895 729830255 952435253 1021762357 1496683969 2164625575 2322187175 3030475805 3401554475 3649151275 4242666127 4762176265 5108811785 6667046771 7483419845 10476787783 15152379025 21213330635 23810881325 25544058925 29698662889 33335233855 37417099225 46669327397 52383938915 73337514481 106066653175 148493314445 166676169275 233346636985 261919694575 326685291779 366687572405 513362601367 742466572225 1166733184925 1633426458895 1833437862025 2566813006835 3593538209569 8167132294475 12834065034175 17967691047845 89838455239225