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168433518340 = 225173171562753
BaseRepresentation
bin1001110011011101101…
…0111000011100000100
3121002202102101021021001
42130313122320130010
510224422440041330
6205213254503044
715111640166143
oct2346732703404
9532672337231
10168433518340
116548336a32a
1228788064a84
1312b63558869
14821b9c975a
1545ac06c9ca
hex27376b8704

168433518340 has 48 divisors (see below), whose sum is σ = 375698563632. Its totient is φ = 63210192896.

The previous prime is 168433518329. The next prime is 168433518457. The reversal of 168433518340 is 43815334861.

168433518340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2649366784 + 165784151556 = 51472^2 + 407166^2 .

It is a super-2 number, since 2×1684335183402 (a number of 23 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 673597 + ... + 889156.

It is an arithmetic number, because the mean of its divisors is an integer number (7827053409).

Almost surely, 2168433518340 is an apocalyptic number.

168433518340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

168433518340 is an abundant number, since it is smaller than the sum of its proper divisors (207265045292).

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

168433518340 is a wasteful number, since it uses less digits than its factorization.

168433518340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1563096 (or 1563094 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 46.

The spelling of 168433518340 in words is "one hundred sixty-eight billion, four hundred thirty-three million, five hundred eighteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 317 340 634 1268 1585 3170 5389 6340 10778 21556 26945 53890 107780 1562753 3125506 6251012 7813765 15627530 26566801 31255060 53133602 106267204 132834005 265668010 495392701 531336020 990785402 1981570804 2476963505 4953927010 8421675917 9907854020 16843351834 33686703668 42108379585 84216759170 168433518340