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41103490560 = 2935114111867
BaseRepresentation
bin100110010001111101…
…010111111000000000
310221002120110122222020
4212101331113320000
51133134443144220
630514354241440
72653403622306
oct462175277000
9127076418866
1041103490560
1116482937910
127b71586280
133b50885c62
141dbcd78276
15110880c040
hex991f57e00

41103490560 has 320 divisors, whose sum is σ = 146857100544. Its totient is φ = 9720627200.

The previous prime is 41103490559. The next prime is 41103490583. The reversal of 41103490560 is 6509430114.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×411034905602 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3457747 + ... + 3469613.

Almost surely, 241103490560 is an apocalyptic number.

41103490560 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 41103490560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73428550272).

41103490560 is an abundant number, since it is smaller than the sum of its proper divisors (105753609984).

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

41103490560 is a wasteful number, since it uses less digits than its factorization.

41103490560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11945 (or 11929 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 41103490560 in words is "forty-one billion, one hundred three million, four hundred ninety thousand, five hundred sixty".