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868166712 = 233272534643
BaseRepresentation
bin110011101111110…
…010110000111000
32020111121102211200
4303233302300320
53234222313322
6222051454200
730341203200
oct6357626070
92214542750
10868166712
1140606a556
122028b7360
1310ab2c11a
1483431400
155133e8ac
hex33bf2c38

868166712 has 144 divisors (see below), whose sum is σ = 2787375240. Its totient is φ = 243315072.

The previous prime is 868166711. The next prime is 868166723. The reversal of 868166712 is 217661868.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (868166711) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 184663 + ... + 189305.

Almost surely, 2868166712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 868166712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393687620).

868166712 is an abundant number, since it is smaller than the sum of its proper divisors (1919208528).

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

868166712 is a wasteful number, since it uses less digits than its factorization.

868166712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4722 (or 4708 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 868166712 is about 29464.6688764697. The cubic root of 868166712 is about 953.9692512801.

It can be divided in two parts, 86816 and 6712, that added together give a triangular number (93528 = T432).

The spelling of 868166712 in words is "eight hundred sixty-eight million, one hundred sixty-six thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 53 56 63 72 84 98 106 126 147 159 168 196 212 252 294 318 371 392 424 441 477 504 588 636 742 882 954 1113 1176 1272 1484 1764 1908 2226 2597 2968 3339 3528 3816 4452 4643 5194 6678 7791 8904 9286 10388 13356 13929 15582 18572 20776 23373 26712 27858 31164 32501 37144 41787 46746 55716 62328 65002 83574 93492 97503 111432 130004 167148 186984 195006 227507 246079 260008 292509 334296 390012 455014 492158 585018 682521 738237 780024 910028 984316 1170036 1365042 1476474 1722553 1820056 1968632 2047563 2214711 2340072 2730084 2952948 3445106 4095126 4429422 5167659 5460168 5905896 6890212 8190252 8858844 10335318 12057871 13780424 15502977 16380504 17717688 20670636 24115742 31005954 36173613 41341272 48231484 62011908 72347226 96462968 108520839 124023816 144694452 217041678 289388904 434083356 868166712