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168865664 = 2711210903
BaseRepresentation
bin10100001000010…
…10111110000000
3102202202021010212
422010022332000
5321212200124
624431213252
74120222502
oct1204127600
9382667125
10168865664
1187358300
1248677228
1328ca5c16
14185d9d72
15ec5940e
hexa10af80

168865664 has 48 divisors (see below), whose sum is σ = 369809160. Its totient is φ = 76750080.

The previous prime is 168865643. The next prime is 168865667. The reversal of 168865664 is 466568861.

It is a super-2 number, since 2×1688656642 = 57031224956321792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168865667) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10037 + ... + 20939.

Almost surely, 2168865664 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 168865664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184904580).

168865664 is an abundant number, since it is smaller than the sum of its proper divisors (200943496).

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

168865664 is a wasteful number, since it uses less digits than its factorization.

168865664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10939 (or 10916 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 50.

The square root of 168865664 is about 12994.8322036108. The cubic root of 168865664 is about 552.7309507226.

The spelling of 168865664 in words is "one hundred sixty-eight million, eight hundred sixty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 352 484 704 968 1408 1936 3872 7744 10903 15488 21806 43612 87224 119933 174448 239866 348896 479732 697792 959464 1319263 1395584 1918928 2638526 3837856 5277052 7675712 10554104 15351424 21108208 42216416 84432832 168865664