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168646999872 = 26313197614673
BaseRepresentation
bin1001110100010000100…
…1001111111101000000
3121010022022002020212110
42131010021033331000
510230342112443442
6205250402255320
715120141563241
oct2350411177500
9533268066773
10168646999872
116558292014a
1228827657540
1312b988532b0
14823c0bacc8
1545c0b8b69c
hex274424ff40

168646999872 has 224 divisors, whose sum is σ = 506600277120. Its totient is φ = 49085153280.

The previous prime is 168646999861. The next prime is 168646999897. The reversal of 168646999872 is 278999646861.

It is a junction number, because it is equal to n+sod(n) for n = 168646999794 and 168646999803.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36087328 + ... + 36092000.

It is an arithmetic number, because the mean of its divisors is an integer number (2261608380).

Almost surely, 2168646999872 is an apocalyptic number.

168646999872 is a gapful number since it is divisible by the number (12) 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 168646999872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253300138560).

168646999872 is an abundant number, since it is smaller than the sum of its proper divisors (337953277248).

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

168646999872 is a wasteful number, since it uses less digits than its factorization.

168646999872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5481 (or 5471 counting only the distinct ones).

The product of its digits is 564350976, while the sum is 75.

The spelling of 168646999872 in words is "one hundred sixty-eight billion, six hundred forty-six million, nine hundred ninety-nine thousand, eight hundred seventy-two".