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41974469856 = 253211196831021
BaseRepresentation
bin100111000101110111…
…111001010011100000
311000100021100222221200
4213011313321103200
51141430431013411
631141030321200
73014111051454
oct470567712340
9130307328850
1041974469856
111688a548510
1281751b9200
133c5c15b317
1420628dc664
15115a004e56
hex9c5df94e0

41974469856 has 288 divisors, whose sum is σ = 137404874880. Its totient is φ = 12020659200.

The previous prime is 41974469833. The next prime is 41974469861. The reversal of 41974469856 is 65896447914.

41974469856 is a `hidden beast` number, since 4 + 1 + 97 + 4 + 469 + 85 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×419744698562 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41974469793 and 41974469802.

It is a congruent number.

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, 41110626 + ... + 41111646.

It is an arithmetic number, because the mean of its divisors is an integer number (477100260).

Almost surely, 241974469856 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 41974469856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68702437440).

41974469856 is an abundant number, since it is smaller than the sum of its proper divisors (95430405024).

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

41974469856 is a wasteful number, since it uses less digits than its factorization.

41974469856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1750 (or 1739 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The spelling of 41974469856 in words is "forty-one billion, nine hundred seventy-four million, four hundred sixty-nine thousand, eight hundred fifty-six".