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41575270560 = 2535319113067
BaseRepresentation
bin100110101110000101…
…000100100010100000
310222022110012120110120
4212232011010202200
51140121232124220
631033250200240
73001162653225
oct465605044240
9128273176416
1041575270560
11166a517a13a
128083583080
133bc753a315
1420258a594c
151134e4da40
hex9ae1448a0

41575270560 has 192 divisors, whose sum is σ = 135379206144. Its totient is φ = 10713830400.

The previous prime is 41575270531. The next prime is 41575270571. The reversal of 41575270560 is 6507257514.

It is a happy 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 31 ways as a sum of consecutive naturals, for example, 13554147 + ... + 13557213.

It is an arithmetic number, because the mean of its divisors is an integer number (705100032).

Almost surely, 241575270560 is an apocalyptic number.

41575270560 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 41575270560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67689603072).

41575270560 is an abundant number, since it is smaller than the sum of its proper divisors (93803935584).

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

41575270560 is a wasteful number, since it uses less digits than its factorization.

41575270560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4027 (or 4019 counting only the distinct ones).

The product of its (nonzero) digits is 294000, while the sum is 42.

The spelling of 41575270560 in words is "forty-one billion, five hundred seventy-five million, two hundred seventy thousand, five hundred sixty".