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41520660480 = 21633513192
BaseRepresentation
bin100110101010110100…
…110000000000000000
310222011122110002112000
4212222310300000000
51140013242113410
631024015504000
72666630535165
oct465264600000
9128148402460
1041520660480
111667736a842
128069228000
133bb9129770
14201c52c06c
151130262dc0
hex9aad30000

41520660480 has 816 divisors, whose sum is σ = 167791851360. Its totient is φ = 9682550784.

The previous prime is 41520660439. The next prime is 41520660491. The reversal of 41520660480 is 8406602514.

41520660480 is a `hidden beast` number, since 41 + 5 + 2 + 0 + 6 + 604 + 8 + 0 = 666.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2185297911 + ... + 2185297929.

Almost surely, 241520660480 is an apocalyptic number.

41520660480 is a gapful number since it is divisible by the number (40) 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 41520660480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83895925680).

41520660480 is an abundant number, since it is smaller than the sum of its proper divisors (126271190880).

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

41520660480 is an equidigital number, since it uses as much as digits as its factorization.

41520660480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 41520660480 in words is "forty-one billion, five hundred twenty million, six hundred sixty thousand, four hundred eighty".