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3225340564656 = 2437175310653971
BaseRepresentation
bin101110111011110101010…
…001110101010010110000
3102102100011112022000122020
4232323311101311102300
5410320444141032111
610505411225511440
7452010642311250
oct56736521652260
912370145260566
103225340564656
11103394a7341a1
12441114042580
131a51c0ab6c22
14b2170693960
1558d7270d906
hex2eef54754b0

3225340564656 has 160 divisors (see below), whose sum is σ = 10272815497728. Its totient is φ = 850953891840.

The previous prime is 3225340564619. The next prime is 3225340564751. The reversal of 3225340564656 is 6564650435223.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 3225340564599 and 3225340564608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5024250 + ... + 5629721.

Almost surely, 23225340564656 is an apocalyptic number.

It is an amenable number.

3225340564656 is an abundant number, since it is smaller than the sum of its proper divisors (7047474933072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3225340564656 is a wasteful number, since it uses less digits than its factorization.

3225340564656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10654059 (or 10654053 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 51.

Adding to 3225340564656 its reverse (6564650435223), we get a palindrome (9789990999879).

The spelling of 3225340564656 in words is "three trillion, two hundred twenty-five billion, three hundred forty million, five hundred sixty-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 53 56 68 84 102 106 112 119 136 159 168 204 212 238 272 318 336 357 371 408 424 476 636 714 742 816 848 901 952 1113 1272 1428 1484 1802 1904 2226 2544 2703 2856 2968 3604 4452 5406 5712 5936 6307 7208 8904 10812 12614 14416 17808 18921 21624 25228 37842 43248 50456 75684 100912 151368 302736 10653971 21307942 31961913 42615884 63923826 74577797 85231768 127847652 149155594 170463536 181117507 223733391 255695304 298311188 362235014 447466782 511390608 543352521 564660463 596622376 724470028 894933564 1086705042 1129320926 1193244752 1267822549 1448940056 1693981389 1789867128 2173410084 2258641852 2535645098 2897880112 3387962778 3579734256 3803467647 3952623241 4346820168 4517283704 5071290196 6775925556 7606935294 7905246482 8693640336 9034567408 9599227871 10142580392 11857869723 13551851112 15213870588 15810492964 19198455742 20285160784 23715739446 27103702224 28797683613 30427741176 31620985928 38396911484 47431478892 57595367226 60855482352 63241971856 67194595097 76793822968 94862957784 115190734452 134389190194 153587645936 189725915568 201583785291 230381468904 268778380388 403167570582 460762937808 537556760776 806335141164 1075113521552 1612670282328 3225340564656