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215559632656 = 241924121492
BaseRepresentation
bin1100100011000001011…
…0101111011100010000
3202121101201110220212101
43020300112233130100
512012431231221111
6243005435010144
721400524434344
oct3106026573420
9677351426771
10215559632656
118346687a545
123593a599954
1317433a9bcc4
14a60c781624
155919480bc1
hex32305af710

215559632656 has 135 divisors (see below), whose sum is σ = 454850739903. Its totient is φ = 98948206080.

The previous prime is 215559632557. The next prime is 215559632711. The reversal of 215559632656 is 656236955512.

The square root of 215559632656 is 464284.

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 152658992656 + 62900640000 = 390716^2 + 250800^2 .

It is a super-2 number, since 2×2155596326562 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 215559632597 and 215559632606.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1446708870 + ... + 1446709018.

Almost surely, 2215559632656 is an apocalyptic number.

215559632656 is the 464284-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 215559632656

215559632656 is an abundant number, since it is smaller than the sum of its proper divisors (239291107247).

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

215559632656 is an equidigital number, since it uses as much as digits as its factorization.

215559632656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 211 counting only the distinct ones).

The product of its digits is 14580000, while the sum is 55.

The spelling of 215559632656 in words is "two hundred fifteen billion, five hundred fifty-nine million, six hundred thirty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 19 38 41 76 82 149 152 164 298 304 328 361 596 656 722 779 1192 1444 1558 1681 2384 2831 2888 3116 3362 5662 5776 6109 6232 6724 11324 12218 12464 13448 14801 22201 22648 24436 26896 29602 31939 44402 45296 48872 53789 59204 63878 88804 97744 107578 116071 118408 127756 177608 215156 232142 236816 250469 255512 355216 421819 430312 464284 500938 511024 606841 843638 860624 910241 928568 1001876 1213682 1687276 1820482 1857136 2003752 2205349 2427364 3374552 3640964 4007504 4410698 4758911 4854728 6749104 7281928 8014561 8821396 9517822 9709456 14563856 16029122 17294579 17642792 19035644 32058244 34589158 35285584 37319881 38071288 64116488 69178316 74639762 76142576 90419309 128232976 138356632 149279524 180838618 276713264 298559048 328597001 361677236 597118096 657194002 709077739 723354472 1314388004 1418155478 1446708944 2628776008 2836310956 5257552016 5672621912 11345243824 13472477041 26944954082 53889908164 107779816328 215559632656