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168107648 = 2710912049
BaseRepresentation
bin10100000010100…
…01111010000000
3102201022202100012
422001101322000
5321013421043
624403044052
74110614522
oct1201217200
9381282305
10168107648
118698a845
1248370628
1328a9bba7
141847da12
15eb59a18
hexa051e80

168107648 has 32 divisors (see below), whose sum is σ = 338002500. Its totient is φ = 83275776.

The previous prime is 168107633. The next prime is 168107651. The reversal of 168107648 is 846701861.

It can be written as a sum of positive squares in 2 ways, for example, as 161594944 + 6512704 = 12712^2 + 2552^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7928 + ... + 19976.

Almost surely, 2168107648 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 168107648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169001250).

168107648 is an abundant number, since it is smaller than the sum of its proper divisors (169894852).

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

168107648 is a wasteful number, since it uses less digits than its factorization.

168107648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12172 (or 12160 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 41.

The square root of 168107648 is about 12965.6333435741. The cubic root of 168107648 is about 551.9026643470.

The spelling of 168107648 in words is "one hundred sixty-eight million, one hundred seven thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 109 128 218 436 872 1744 3488 6976 12049 13952 24098 48196 96392 192784 385568 771136 1313341 1542272 2626682 5253364 10506728 21013456 42026912 84053824 168107648