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41052794112 = 2833113714593
BaseRepresentation
bin100110001110111011…
…111110110100000000
310220222001002000112000
4212032323332310000
51133034003402422
630505343504000
72652216664251
oct461673766400
9126861060460
1041052794112
1116457260920
127b585b8000
133b43215865
141db633cb28
151104145cac
hex98eefed00

41052794112 has 288 divisors, whose sum is σ = 136025420160. Its totient is φ = 12103188480.

The previous prime is 41052794099. The next prime is 41052794137. The reversal of 41052794112 is 21149725014.

41052794112 is a `hidden beast` number, since 4 + 10 + 527 + 9 + 4 + 112 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 2805888 + ... + 2820480.

Almost surely, 241052794112 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 41052794112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68012710080).

41052794112 is an abundant number, since it is smaller than the sum of its proper divisors (94972626048).

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

41052794112 is a wasteful number, since it uses less digits than its factorization.

41052794112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14666 (or 14646 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 41052794112 in words is "forty-one billion, fifty-two million, seven hundred ninety-four thousand, one hundred twelve".