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168086412 = 2232131737571
BaseRepresentation
bin10100000010011…
…00101110001100
3102201021200012200
422001030232030
5321012231122
624402401500
74110465564
oct1201145614
9381250180
10168086412
118697589a
1248360290
1328a92320
1418475da4
15eb535ac
hexa04cb8c

168086412 has 144 divisors (see below), whose sum is σ = 498449952. Its totient is φ = 47278080.

The previous prime is 168086383. The next prime is 168086423. The reversal of 168086412 is 214680861.

168086412 is a `hidden beast` number, since 1 + 6 + 8 + 0 + 8 + 641 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 294087 + ... + 294657.

It is an arithmetic number, because the mean of its divisors is an integer number (3461458).

Almost surely, 2168086412 is an apocalyptic number.

168086412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168086412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249224976).

168086412 is an abundant number, since it is smaller than the sum of its proper divisors (330363540).

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

168086412 is a wasteful number, since it uses less digits than its factorization.

168086412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 168086412 is about 12964.8143835537. The cubic root of 168086412 is about 551.8794238844.

It can be divided in two parts, 16808 and 6412, that added together give a triangular number (23220 = T215).

The spelling of 168086412 in words is "one hundred sixty-eight million, eighty-six thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 37 39 51 52 68 74 78 102 111 117 148 153 156 204 221 222 234 306 333 442 444 468 481 571 612 629 663 666 884 962 1142 1258 1326 1332 1443 1713 1887 1924 1989 2284 2516 2652 2886 3426 3774 3978 4329 5139 5661 5772 6852 7423 7548 7956 8177 8658 9707 10278 11322 14846 16354 17316 19414 20556 21127 22269 22644 24531 29121 29692 32708 38828 42254 44538 49062 58242 63381 66807 73593 84508 87363 89076 98124 116484 126191 126762 133614 147186 174726 190143 252382 253524 267228 274651 294372 349452 359159 378573 380286 504764 549302 718318 757146 760572 823953 1077477 1098604 1135719 1436636 1514292 1647906 2154954 2271438 2471859 3232431 3295812 4309908 4542876 4669067 4943718 6464862 9338134 9887436 12929724 14007201 18676268 28014402 42021603 56028804 84043206 168086412