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148661568 = 263511279
BaseRepresentation
bin10001101110001…
…10010101000000
3101100201210100000
420313012111000
5301024132233
622430200000
73453413436
oct1067062500
9340653300
10148661568
1176a08700
1241953000
1324a50933
1415a5ad56
15d0b7d13
hex8dc6540

148661568 has 252 divisors, whose sum is σ = 491865920. Its totient is φ = 44478720.

The previous prime is 148661561. The next prime is 148661587. The reversal of 148661568 is 865166841.

148661568 is a `hidden beast` number, since 1 + 4 + 86 + 6 + 1 + 568 = 666.

Its product of digits (276480) is a multiple of the sum of its prime factors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148661561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1881753 + ... + 1881831.

Almost surely, 2148661568 is an apocalyptic number.

148661568 is a gapful number since it is divisible by the number (18) 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 148661568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245932960).

148661568 is an abundant number, since it is smaller than the sum of its proper divisors (343204352).

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

148661568 is an equidigital number, since it uses as much as digits as its factorization.

148661568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 95 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 148661568 is about 12192.6850201258. The cubic root of 148661568 is about 529.7442316399.

The spelling of 148661568 in words is "one hundred forty-eight million, six hundred sixty-one thousand, five hundred sixty-eight".