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87211539856 = 24725321992
BaseRepresentation
bin101000100111000110…
…1100111110110010000
322100002220220020220201
41101032031213312100
52412102123233411
6104021525544544
76205116600100
oct1211615476620
9270086806821
1087211539856
1133a93705781
1214a9ab75154
1382bb20576c
14431483d200
1524066713c1
hex144e367d90

87211539856 has 135 divisors (see below), whose sum is σ = 201350114721. Its totient is φ = 36486882432.

The previous prime is 87211539829. The next prime is 87211539869. The reversal of 87211539856 is 65893511278.

The square root of 87211539856 is 295316.

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

It can be written as a sum of positive squares in only one way, i.e., 62870547600 + 24340992256 = 250740^2 + 156016^2 .

It is a junction number, because it is equal to n+sod(n) for n = 87211539797 and 87211539806.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 438248845 + ... + 438249043.

Almost surely, 287211539856 is an apocalyptic number.

87211539856 is the 295316-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87211539856

87211539856 is an abundant number, since it is smaller than the sum of its proper divisors (114138574865).

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

87211539856 is an equidigital number, since it uses as much as digits as its factorization.

87211539856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 261 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 55.

The spelling of 87211539856 in words is "eighty-seven billion, two hundred eleven million, five hundred thirty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 49 53 56 98 106 112 196 199 212 371 392 398 424 742 784 796 848 1393 1484 1592 2597 2786 2809 2968 3184 5194 5572 5618 5936 9751 10388 10547 11144 11236 19502 19663 20776 21094 22288 22472 39004 39326 39601 41552 42188 44944 73829 78008 78652 79202 84376 137641 147658 156016 157304 158404 168752 275282 277207 295316 314608 316808 516803 550564 554414 558991 590632 633616 1033606 1101128 1108828 1117982 1181264 1940449 2067212 2098853 2202256 2217656 2235964 3880898 3912937 4134424 4197706 4435312 4471928 7761796 7825874 8268848 8395412 8943856 14691971 15523592 15651748 16790824 27390559 29383942 31047184 31303496 33581648 54781118 58767884 62606992 102843797 109562236 111239209 117535768 205687594 219124472 222478418 235071536 411375188 438248944 444956836 778674463 822750376 889913672 1557348926 1645500752 1779827344 3114697852 5450721241 6229395704 10901442482 12458791408 21802884964 43605769928 87211539856