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168168889760 = 2555319831237
BaseRepresentation
bin1001110010011110100…
…1011001110110100000
3121002001222102202002112
42130213221121312200
510223402213433020
6205131122534452
715102244656224
oct2344751316640
9532058382075
10168168889760
1165357a54a23
1228713507428
1312b207938c1
1481d47c2784
154593be92c5
hex2727a59da0

168168889760 has 48 divisors (see below), whose sum is σ = 404795230056. Its totient is φ = 65998353408.

The previous prime is 168168889723. The next prime is 168168889789. The reversal of 168168889760 is 67988861861.

It is a happy number.

168168889760 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 4 ways, for example, as 168168887056 + 2704 = 410084^2 + 52^2 .

It is a super-2 number, since 2×1681688897602 (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 7 ways as a sum of consecutive naturals, for example, 9907139 + ... + 9924098.

Almost surely, 2168168889760 is an apocalyptic number.

168168889760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

168168889760 is an abundant number, since it is smaller than the sum of its proper divisors (236626340296).

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

168168889760 is a wasteful number, since it uses less digits than its factorization.

168168889760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19831305 (or 19831297 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 68.

The spelling of 168168889760 in words is "one hundred sixty-eight billion, one hundred sixty-eight million, eight hundred eighty-nine thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 80 106 160 212 265 424 530 848 1060 1696 2120 4240 8480 19831237 39662474 79324948 99156185 158649896 198312370 317299792 396624740 634599584 793249480 1051055561 1586498960 2102111122 3172997920 4204222244 5255277805 8408444488 10510555610 16816888976 21021111220 33633777952 42042222440 84084444880 168168889760