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41479448640 = 2635725931487
BaseRepresentation
bin100110101000010111…
…100010100001000000
310222001202220022111120
4212220113202201000
51134422214324030
631015544312240
72665620332100
oct465027424100
9128052808446
1041479448640
1116656081773
128057472680
133bb072a466
142016c81200
15112b822010
hex9a85e2840

41479448640 has 336 divisors, whose sum is σ = 153560385792. Its totient is φ = 9458663424.

The previous prime is 41479448617. The next prime is 41479448651. The reversal of 41479448640 is 4684497414.

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 27893977 + ... + 27895463.

Almost surely, 241479448640 is an apocalyptic number.

41479448640 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 41479448640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76780192896).

41479448640 is an abundant number, since it is smaller than the sum of its proper divisors (112080937152).

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

41479448640 is a wasteful number, since it uses less digits than its factorization.

41479448640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2114 (or 2097 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 51.

The spelling of 41479448640 in words is "forty-one billion, four hundred seventy-nine million, four hundred forty-eight thousand, six hundred forty".