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168680434662 = 2345926367103
BaseRepresentation
bin1001110100011000100…
…0110010101111100110
3121010101121222220210000
42131012020302233212
510230424142402122
6205253555042130
715121026015615
oct2350610625746
9533347886700
10168680434662
116559a787203
12288368a0346
1312ba275b7ac
14824270187c
1545c3a930ac
hex2746232be6

168680434662 has 80 divisors (see below), whose sum is σ = 385842631680. Its totient is φ = 55062827568.

The previous prime is 168680434627. The next prime is 168680434691. The reversal of 168680434662 is 266434086861.

168680434662 is a `hidden beast` number, since 1 + 68 + 6 + 80 + 43 + 466 + 2 = 666.

168680434662 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1686804346622 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 168680434599 and 168680434608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2480203 + ... + 2547305.

It is an arithmetic number, because the mean of its divisors is an integer number (4823032896).

Almost surely, 2168680434662 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168680434662, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192921315840).

168680434662 is an abundant number, since it is smaller than the sum of its proper divisors (217162197018).

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

168680434662 is a wasteful number, since it uses less digits than its factorization.

168680434662 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67439 (or 67430 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 168680434662 in words is "one hundred sixty-eight billion, six hundred eighty million, four hundred thirty-four thousand, six hundred sixty-two".

Divisors: 1 2 3 6 9 18 27 54 59 81 118 162 177 263 354 526 531 789 1062 1578 1593 2367 3186 4734 4779 7101 9558 14202 15517 21303 31034 42606 46551 67103 93102 134206 139653 201309 279306 402618 418959 603927 837918 1207854 1256877 1811781 2513754 3623562 3959077 5435343 7918154 10870686 11877231 17648089 23754462 35296178 35631693 52944267 71263386 105888534 106895079 158832801 213790158 317665602 320685237 476498403 641370474 952996806 1041237251 1429495209 2082474502 2858990418 3123711753 6247423506 9371135259 18742270518 28113405777 56226811554 84340217331 168680434662