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41052207126 = 23731311101383
BaseRepresentation
bin100110001110111001…
…101111100000010110
310220221222222012022210
4212032321233200112
51133033331112001
630505323134250
72652212001030
oct461671574026
9126858865283
1041052207126
111645699a907
127b58374386
133b4306b628
141db6228c50
15110407bdd6
hex98ee6f816

41052207126 has 64 divisors (see below), whose sum is σ = 97172914176. Its totient is φ = 11314231200.

The previous prime is 41052207083. The next prime is 41052207127. The reversal of 41052207126 is 62170225014.

41052207126 is a modest number, since divided by 207126 gives 41052 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 41052207093 and 41052207102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41052207127) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 354231 + ... + 455613.

It is an arithmetic number, because the mean of its divisors is an integer number (1518326784).

Almost surely, 241052207126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41052207126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48586457088).

41052207126 is an abundant number, since it is smaller than the sum of its proper divisors (56120707050).

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

41052207126 is a wasteful number, since it uses less digits than its factorization.

41052207126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101737.

The product of its (nonzero) digits is 6720, while the sum is 30.

The spelling of 41052207126 in words is "forty-one billion, fifty-two million, two hundred seven thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 186 217 311 434 622 651 933 1302 1866 2177 4354 6531 9641 13062 19282 28923 57846 67487 101383 134974 202461 202766 304149 404922 608298 709681 1419362 2129043 3142873 4258086 6285746 9428619 18857238 22000111 31530113 44000222 63060226 66000333 94590339 132000666 189180678 220710791 441421582 662132373 977433503 1324264746 1954867006 2932300509 5864601018 6842034521 13684069042 20526103563 41052207126