Search a number
-
+
978843103225 = 521323124912
BaseRepresentation
bin11100011111001111001…
…10000110111111111001
310110120120020222201012121
432033213212012333321
5112014132313300400
62025401352441241
7130501434045151
oct16174746067771
93416506881177
10978843103225
11348141460239
121398586a9221
13713c600b900
143553a651761
151a6de17621a
hexe3e7986ff9

978843103225 has 81 divisors (see below), whose sum is σ = 1360850523597. Its totient is φ = 698095944000.

The previous prime is 978843103177. The next prime is 978843103229. The reversal of 978843103225 is 522301348879.

It is a happy number.

The square root of 978843103225 is 989365.

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

It can be written as a sum of positive squares in 4 ways, for example, as 252298257849 + 726544845376 = 502293^2 + 852376^2 .

It is not a de Polignac number, because 978843103225 - 235 = 944483364857 is a prime.

It is a super-2 number, since 2×9788431032252 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (978843103229) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1993570230 + ... + 1993570720.

Almost surely, 2978843103225 is an apocalyptic number.

978843103225 is the 989365-th square number.

978843103225 is the 494683-rd centered octagonal number.

It is an amenable number.

978843103225 is a deficient number, since it is larger than the sum of its proper divisors (382007420372).

978843103225 is an equidigital number, since it uses as much as digits as its factorization.

978843103225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 52.

The spelling of 978843103225 in words is "nine hundred seventy-eight billion, eight hundred forty-three million, one hundred three thousand, two hundred twenty-five".

Divisors: 1 5 13 25 31 65 155 169 325 403 491 775 845 961 2015 2455 4225 4805 5239 6383 10075 12275 12493 15221 24025 26195 31915 62465 76105 82979 130975 159575 162409 197873 241081 312325 380525 414895 471851 812045 989365 1205405 2074475 2359255 2572349 3134053 4060225 4946825 6027025 6134063 7473511 11796275 12861745 15670265 30670315 37367555 40742689 64308725 78351325 79742819 97155643 153351575 186837775 203713445 231678841 398714095 485778215 1018567225 1158394205 1263023359 1993570475 2428891075 3011824933 5791971025 6315116795 15059124665 31575583975 39153724129 75295623325 195768620645 978843103225