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168848671744 = 210128412
BaseRepresentation
bin1001110101000000101…
…0100100010000000000
3121010211100120020200001
42131100022210100000
510231300224443434
6205322405005344
715125141013004
oct2352012442000
9533740506601
10168848671744
1165676745215
12288830b3854
1312bcb57456c
14825abb6704
1545d3726114
hex27502a4400

168848671744 has 33 divisors (see below), whose sum is σ = 337558739781. Its totient is φ = 84417761280.

The previous prime is 168848671741. The next prime is 168848671769. The reversal of 168848671744 is 447176848861.

The square root of 168848671744 is 410912.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 79136441344 + 89712230400 = 281312^2 + 299520^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (168848671741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 13142764 + ... + 13155604.

Almost surely, 2168848671744 is an apocalyptic number.

168848671744 is the 410912-nd square number.

It is an amenable number.

168848671744 is a deficient number, since it is larger than the sum of its proper divisors (168710068037).

168848671744 is an frugal number, since it uses more digits than its factorization.

168848671744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25702 (or 12843 counting only the distinct ones).

The product of its digits is 57802752, while the sum is 64.

Multiplying 168848671744 by its sum of digits (64), we get a square (10806314991616 = 32872962).

168848671744 divided by its sum of digits (64) gives a square (2638260496 = 513642).

The spelling of 168848671744 in words is "one hundred sixty-eight billion, eight hundred forty-eight million, six hundred seventy-one thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 12841 25682 51364 102728 205456 410912 821824 1643648 3287296 6574592 13149184 164891281 329782562 659565124 1319130248 2638260496 5276520992 10553041984 21106083968 42212167936 84424335872 168848671744