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687264212196 = 223223325932
BaseRepresentation
bin10100000000001000010…
…00111010010011100100
32102200221121212100021100
422000010020322103210
542230004114242241
61243420321120100
7100440022262562
oct12000410722344
92380847770240
10687264212196
11245515804831
12b1243489030
134ca68a45823
1425399ab4a32
1512d25e459b6
hexa00423a4e4

687264212196 has 81 divisors (see below), whose sum is σ = 1747686403099. Its totient is φ = 227720197632.

The previous prime is 687264212101. The next prime is 687264212221. The reversal of 687264212196 is 691212462786.

The square root of 687264212196 is 829014.

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

687264212196 is a `hidden beast` number, since 6 + 8 + 7 + 26 + 421 + 2 + 196 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27660346596 + 659603865600 = 166314^2 + 812160^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1158961276 + ... + 1158961868.

Almost surely, 2687264212196 is an apocalyptic number.

687264212196 is the 829014-th square number.

It is an amenable number.

687264212196 is an abundant number, since it is smaller than the sum of its proper divisors (1060422190903).

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

687264212196 is an equidigital number, since it uses as much as digits as its factorization.

687264212196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1662 (or 831 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 687264212196 in words is "six hundred eighty-seven billion, two hundred sixty-four million, two hundred twelve thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 233 466 593 699 932 1186 1398 1779 2097 2372 2796 3558 4194 5337 7116 8388 10674 21348 54289 108578 138169 162867 217156 276338 325734 351649 414507 488601 552676 651468 703298 829014 977202 1054947 1243521 1406596 1658028 1954404 2109894 2487042 3164841 4219788 4974084 6329682 12659364 32193377 64386754 81934217 96580131 128773508 163868434 193160262 245802651 289740393 327736868 386320524 491605302 579480786 737407953 983210604 1158961572 1474815906 2949631812 19090672561 38181345122 57272017683 76362690244 114544035366 171816053049 229088070732 343632106098 687264212196