Search a number
-
+
675182673025 = 527217213812
BaseRepresentation
bin10011101001101000000…
…01011111110010000001
32101112202122022120012121
421310310001133302001
542030233231014100
61234101415524241
766531441012400
oct11646401376201
92345678276177
10675182673025
11240386020613
12aaa31389681
134b891a32193
142497130d637
151286a46a51a
hex9d3405fc81

675182673025 has 81 divisors (see below), whose sum is σ = 1035325412667. Its totient is φ = 435432614400.

The previous prime is 675182673019. The next prime is 675182673029. The reversal of 675182673025 is 520376281576.

It is a happy number.

The square root of 675182673025 is 821695.

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

It can be written as a sum of positive squares in 13 ways, for example, as 265265171521 + 409917501504 = 515039^2 + 640248^2 .

It is not a de Polignac number, because 675182673025 - 27 = 675182672897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (675182673029) 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, 488907835 + ... + 488909215.

Almost surely, 2675182673025 is an apocalyptic number.

675182673025 is the 821695-th square number.

675182673025 is the 410848-th centered octagonal number.

It is an amenable number.

675182673025 is a deficient number, since it is larger than the sum of its proper divisors (360142739642).

675182673025 is an equidigital number, since it uses as much as digits as its factorization.

675182673025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2820 (or 1410 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 52.

The spelling of 675182673025 in words is "six hundred seventy-five billion, one hundred eighty-two million, six hundred seventy-three thousand, twenty-five".

Divisors: 1 5 7 17 25 35 49 85 119 175 245 289 425 595 833 1225 1381 1445 2023 2975 4165 6905 7225 9667 10115 14161 20825 23477 34525 48335 50575 67669 70805 117385 164339 241675 338345 354025 399109 586925 821695 1150373 1691725 1907161 1995545 2793763 4108475 5751865 9535805 9977725 13350127 13968815 19556341 28759325 32421737 47679025 66750635 69844075 93450889 97781705 162108685 226952159 333753175 467254445 488908525 551169529 810543425 1134760795 1588665113 2336272225 2755847645 3858186703 5673803975 7943325565 13779238225 19290933515 27007306921 39716627825 96454667575 135036534605 675182673025