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41828310401 = 834011256747
BaseRepresentation
bin100110111101001010…
…010101110110000001
310222222002100022212112
4212331022111312001
51141131021413101
631114325505105
73010354525553
oct467512256601
9128862308775
1041828310401
1116814a99779
128134272195
133c37aa5537
14204b3334d3
15114c2836bb
hex9bd295d81

41828310401 has 8 divisors (see below), whose sum is σ = 42437866464. Its totient is φ = 41221268800.

The previous prime is 41828310379. The next prime is 41828310479. The reversal of 41828310401 is 10401382814.

It is a happy number.

41828310401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 41828310401 - 222 = 41824116097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (41828310001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 595091 + ... + 661656.

It is an arithmetic number, because the mean of its divisors is an integer number (5304733308).

Almost surely, 241828310401 is an apocalyptic number.

It is an amenable number.

41828310401 is a deficient number, since it is larger than the sum of its proper divisors (609556063).

41828310401 is a wasteful number, since it uses less digits than its factorization.

41828310401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257231.

The product of its (nonzero) digits is 6144, while the sum is 32.

The spelling of 41828310401 in words is "forty-one billion, eight hundred twenty-eight million, three hundred ten thousand, four hundred one".

Divisors: 1 83 401 33283 1256747 104310001 503955547 41828310401