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41666108064 = 25372193111499
BaseRepresentation
bin100110110011011111…
…100101101010100000
310222112210010121002120
4212303133211222200
51140313010424224
631050253144240
73003345034500
oct466337455240
9128483117076
1041666108064
1116741482759
1280a9a8b080
133c102c3519
14203398da00
15113cde3779
hex9b37e5aa0

41666108064 has 288 divisors, whose sum is σ = 134447040000. Its totient is φ = 11234280960.

The previous prime is 41666108009. The next prime is 41666108101. The reversal of 41666108064 is 46080166614.

It is a super-2 number, since 2×416661080642 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27795187 + ... + 27796685.

It is an arithmetic number, because the mean of its divisors is an integer number (466830000).

Almost surely, 241666108064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41666108064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67223520000).

41666108064 is an abundant number, since it is smaller than the sum of its proper divisors (92780931936).

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

41666108064 is a wasteful number, since it uses less digits than its factorization.

41666108064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1856 (or 1841 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 41666108064 in words is "forty-one billion, six hundred sixty-six million, one hundred eight thousand, sixty-four".