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168848055360 = 26335831731361
BaseRepresentation
bin1001110101000000100…
…0001101110001000000
3121010211022101221011000
42131100020031301000
510231300100232420
6205322343452000
715125132534655
oct2352010156100
9533738357130
10168848055360
1165676364106
1228882a57000
1312bcb3b9b3a
14825aa95c2c
1545d3653690
hex275020dc40

168848055360 has 448 divisors, whose sum is σ = 606765116160. Its totient is φ = 44194037760.

The previous prime is 168848055347. The next prime is 168848055361. The reversal of 168848055360 is 63550848861.

168848055360 is a `hidden beast` number, since 1 + 6 + 8 + 8 + 4 + 80 + 553 + 6 + 0 = 666.

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 = 168848055297 and 168848055306.

It is not an unprimeable number, because it can be changed into a prime (168848055361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 124061080 + ... + 124062440.

It is an arithmetic number, because the mean of its divisors is an integer number (1354386420).

Almost surely, 2168848055360 is an apocalyptic number.

168848055360 is a gapful number since it is divisible by the number (10) 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 168848055360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303382558080).

168848055360 is an abundant number, since it is smaller than the sum of its proper divisors (437917060800).

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

168848055360 is a wasteful number, since it uses less digits than its factorization.

168848055360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643 (or 1627 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 168848055360 in words is "one hundred sixty-eight billion, eight hundred forty-eight million, fifty-five thousand, three hundred sixty".