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168128128 = 277316053
BaseRepresentation
bin10100000010101…
…10111010000000
3102201100210102201
422001112322000
5321020100003
624403322544
74111031320
oct1201267200
9381323381
10168128128
11869a4173
1248380454
1328aa82cc
1418487280
15eb60b1d
hexa056e80

168128128 has 64 divisors (see below), whose sum is σ = 395205120. Its totient is φ = 69719040.

The previous prime is 168128101. The next prime is 168128141. The reversal of 168128128 is 821821861.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24750 + ... + 30802.

It is an arithmetic number, because the mean of its divisors is an integer number (6175080).

Almost surely, 2168128128 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 168128128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197602560).

168128128 is an abundant number, since it is smaller than the sum of its proper divisors (227076992).

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

168128128 is an equidigital number, since it uses as much as digits as its factorization.

168128128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6105 (or 6093 counting only the distinct ones).

The product of its digits is 12288, while the sum is 37.

The square root of 168128128 is about 12966.4230996833. The cubic root of 168128128 is about 551.9250755971.

Adding to 168128128 its reverse (821821861), we get a palindrome (989949989).

The spelling of 168128128 in words is "one hundred sixty-eight million, one hundred twenty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 434 448 496 868 896 992 1736 1984 3472 3968 6053 6944 12106 13888 24212 27776 42371 48424 84742 96848 169484 187643 193696 338968 375286 387392 677936 750572 774784 1313501 1355872 1501144 2627002 2711744 3002288 5254004 5423488 6004576 10508008 12009152 21016016 24018304 42032032 84064064 168128128