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41957399952 = 24341319131071
BaseRepresentation
bin100111000100110110…
…110001110110010000
311000022002020202110000
4213010312301312100
51141412043244302
631135220410000
73013513005126
oct470466616620
9130262222400
1041957399952
1116880949656
12816b546900
133c587627a0
142060537916
15115878231c
hex9c4db1d90

41957399952 has 200 divisors, whose sum is σ = 137662300160. Its totient is φ = 12230403840.

The previous prime is 41957399951. The next prime is 41957399987. The reversal of 41957399952 is 25999375914.

41957399952 is a `hidden beast` number, since 4 + 1 + 9 + 573 + 9 + 9 + 9 + 52 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 41957399952.

It is not an unprimeable number, because it can be changed into a prime (41957399951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 254577 + ... + 385647.

Almost surely, 241957399952 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 41957399952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68831150080).

41957399952 is an abundant number, since it is smaller than the sum of its proper divisors (95704900208).

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

41957399952 is a wasteful number, since it uses less digits than its factorization.

41957399952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131123 (or 131108 counting only the distinct ones).

The product of its digits is 27556200, while the sum is 63.

The spelling of 41957399952 in words is "forty-one billion, nine hundred fifty-seven million, three hundred ninety-nine thousand, nine hundred fifty-two".