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168643888848 = 24322971956167
BaseRepresentation
bin1001110100001111110…
…1011000011011010000
3121010022002020012100100
42131003331120123100
510230340313420343
6205250211452400
715120103255221
oct2350375303320
9533262205310
10168643888848
1165581095856
12288265b7100
1312b98004256
14823b90b248
1545c07749d3
hex2743f586d0

168643888848 has 120 divisors (see below), whose sum is σ = 488931206400. Its totient is φ = 54199740672.

The previous prime is 168643888837. The next prime is 168643888859. The reversal of 168643888848 is 848888346861.

168643888848 is a `hidden beast` number, since 168 + 6 + 4 + 388 + 8 + 84 + 8 = 666.

168643888848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (168643888837) and next prime (168643888859).

It is a super-2 number, since 2×1686438888482 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2974461 + ... + 3030627.

It is an arithmetic number, because the mean of its divisors is an integer number (4074426720).

Almost surely, 2168643888848 is an apocalyptic number.

168643888848 is a gapful number since it is divisible by the number (18) 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 168643888848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244465603200).

168643888848 is an abundant number, since it is smaller than the sum of its proper divisors (320287317552).

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

168643888848 is a wasteful number, since it uses less digits than its factorization.

168643888848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56929 (or 56920 counting only the distinct ones).

The product of its digits is 452984832, while the sum is 72.

The spelling of 168643888848 in words is "one hundred sixty-eight billion, six hundred forty-three million, eight hundred eighty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 719 1044 1392 1438 2088 2157 2876 4176 4314 5752 6471 8628 11504 12942 17256 20851 25884 34512 41702 51768 56167 62553 83404 103536 112334 125106 166808 168501 187659 224668 250212 333616 337002 375318 449336 500424 505503 674004 750636 898672 1000848 1011006 1348008 1501272 1628843 2022012 2696016 3002544 3257686 4044024 4886529 6515372 8088048 9773058 13030744 14659587 19546116 26061488 29319174 39092232 40384073 58638348 78184464 80768146 117276696 121152219 161536292 234553392 242304438 323072584 363456657 484608876 646145168 726913314 969217752 1171138117 1453826628 1938435504 2342276234 2907653256 3513414351 4684552468 5815306512 7026828702 9369104936 10540243053 14053657404 18738209872 21080486106 28107314808 42160972212 56214629616 84321944424 168643888848