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964333820025 = 325217238512
BaseRepresentation
bin11100000100001101100…
…01100101100001111001
310102012010002012202102100
432002012301211201321
5111244423424220100
62015001524254013
7126446043140022
oct16020661454171
93365102182370
10964333820025
11341a76334aa4
12136a89541309
136cc23047434
1434961687c49
151a140494400
hexe086c65879

964333820025 has 81 divisors (see below), whose sum is σ = 1835283871213. Its totient is φ = 483932064000.

The previous prime is 964333819987. The next prime is 964333820027. The reversal of 964333820025 is 520028333469.

The square root of 964333820025 is 982005.

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

964333820025 is a `hidden beast` number, since 9 + 6 + 433 + 3 + 8 + 200 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22556735721 + 941777084304 = 150189^2 + 970452^2 .

It is a de Polignac number, because none of the positive numbers 2k-964333820025 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (964333820027) 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, 250409350 + ... + 250413200.

Almost surely, 2964333820025 is an apocalyptic number.

964333820025 is the 982005-th square number.

964333820025 is the 491003-rd centered octagonal number.

It is an amenable number.

964333820025 is a deficient number, since it is larger than the sum of its proper divisors (870950051188).

964333820025 is an equidigital number, since it uses as much as digits as its factorization.

964333820025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7752 (or 3876 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 964333820025 in words is "nine hundred sixty-four billion, three hundred thirty-three million, eight hundred twenty thousand, twenty-five".

Divisors: 1 3 5 9 15 17 25 45 51 75 85 153 225 255 289 425 765 867 1275 1445 2601 3825 3851 4335 7225 11553 13005 19255 21675 34659 57765 65025 65467 96275 173295 196401 288825 327335 589203 866475 982005 1112939 1636675 2946015 3338817 4910025 5564695 10016451 14730075 14830201 16694085 27823475 44490603 50082255 74151005 83470425 133471809 222453015 250411275 252113417 370755025 667359045 756340251 1112265075 1260567085 2269020753 3336795225 3781701255 4285928089 6302835425 11345103765 12857784267 18908506275 21429640445 38573352801 56725518825 64288921335 107148202225 192866764005 321444606675 964333820025