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168436864 = 271399467
BaseRepresentation
bin10100000101000…
…10010010000000
3102201221110221101
422002202102000
5321104434424
624414104144
74113455401
oct1202422200
9381843841
10168436864
1187095122
12484ab054
1328b859ab
14185279a8
15ebc2344
hexa0a2480

168436864 has 32 divisors (see below), whose sum is σ = 338007600. Its totient is φ = 83603712.

The previous prime is 168436859. The next prime is 168436871. The reversal of 168436864 is 468634861.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13059 + ... + 22525.

Almost surely, 2168436864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168436864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169003800).

168436864 is an abundant number, since it is smaller than the sum of its proper divisors (169570736).

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

168436864 is an equidigital number, since it uses as much as digits as its factorization.

168436864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9620 (or 9608 counting only the distinct ones).

The product of its digits is 663552, while the sum is 46.

The square root of 168436864 is about 12978.3228500450. The cubic root of 168436864 is about 552.2627048927.

The spelling of 168436864 in words is "one hundred sixty-eight million, four hundred thirty-six thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 139 278 556 1112 2224 4448 8896 9467 17792 18934 37868 75736 151472 302944 605888 1211776 1315913 2631826 5263652 10527304 21054608 42109216 84218432 168436864