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41528222208 = 29331133761
BaseRepresentation
bin100110101011010001…
…100110001000000000
310222012011200021021000
4212223101212020000
51140022211102313
631024445532000
73000052031064
oct465321461000
9128164607230
1041528222208
1116680665000
12806b874000
133bba876565
14201d539aa4
151130c58673
hex9ab466200

41528222208 has 640 divisors, whose sum is σ = 141140609280. Its totient is φ = 12043468800.

The previous prime is 41528222179. The next prime is 41528222213. The reversal of 41528222208 is 80222282514.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 680790498 + ... + 680790558.

It is an arithmetic number, because the mean of its divisors is an integer number (220532202).

Almost surely, 241528222208 is an apocalyptic number.

41528222208 is a gapful number since it is divisible by the number (48) 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 41528222208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70570304640).

41528222208 is an abundant number, since it is smaller than the sum of its proper divisors (99612387072).

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

41528222208 is an equidigital number, since it uses as much as digits as its factorization.

41528222208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 41528222208 in words is "forty-one billion, five hundred twenty-eight million, two hundred twenty-two thousand, two hundred eight".