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168000071080 = 23540910268953
BaseRepresentation
bin1001110001110110010…
…1011010010110101000
3121001122012202212101211
42130131211122112220
510223031004233310
6205102252322504
715065125020412
oct2343545322650
9531565685354
10168000071080
1165280729a56
1228686a73434
1312ac48061aa
1481ba1d99b2
154583e9dc8a
hex271d95a5a8

168000071080 has 32 divisors (see below), whose sum is σ = 378924402600. Its totient is φ = 67035718656.

The previous prime is 168000071051. The next prime is 168000071089. The reversal of 168000071080 is 80170000861.

168000071080 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 166805262724 + 1194808356 = 408418^2 + 34566^2 .

It is not an unprimeable number, because it can be changed into a prime (168000071089) by changing a digit.

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, 5118117 + ... + 5150836.

Almost surely, 2168000071080 is an apocalyptic number.

168000071080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

168000071080 is an abundant number, since it is smaller than the sum of its proper divisors (210924331520).

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

168000071080 is a wasteful number, since it uses less digits than its factorization.

168000071080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10269373 (or 10269369 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 31.

The spelling of 168000071080 in words is "one hundred sixty-eight billion, seventy-one thousand, eighty".

Divisors: 1 2 4 5 8 10 20 40 409 818 1636 2045 3272 4090 8180 16360 10268953 20537906 41075812 51344765 82151624 102689530 205379060 410758120 4200001777 8400003554 16800007108 21000008885 33600014216 42000017770 84000035540 168000071080