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41062224287196 = 22337299739114937
BaseRepresentation
bin10010101011000100010110…
…10010101101010111011100
312101101111210000022201222000
421111202023102231113130
520340230413404142241
6223155420405122300
711435435124362550
oct1125421322552734
9171344700281860
1041062224287196
11120a1434135a02
1247321739b9390
1319bb1c7076748
14a1d5ca975860
154b31c90edeb6
hex25588b4ad5dc

41062224287196 has 384 divisors, whose sum is σ = 127217038233600. Its totient is φ = 11205595054080.

The previous prime is 41062224287179. The next prime is 41062224287221. The reversal of 41062224287196 is 69178242226014.

41062224287196 is a `hidden beast` number, since 4 + 1 + 0 + 6 + 2 + 22 + 428 + 7 + 196 = 666.

41062224287196 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×410622242871962 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8317239640 + ... + 8317244576.

It is an arithmetic number, because the mean of its divisors is an integer number (331294370400).

Almost surely, 241062224287196 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 41062224287196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63608519116800).

41062224287196 is an abundant number, since it is smaller than the sum of its proper divisors (86154813946404).

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

41062224287196 is a wasteful number, since it uses less digits than its factorization.

41062224287196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8994 (or 8986 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 41062224287196 in words is "forty-one trillion, sixty-two billion, two hundred twenty-four million, two hundred eighty-seven thousand, one hundred ninety-six".