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41994456768 = 2632119768329
BaseRepresentation
bin100111000111000100…
…001000111011000000
311000101122222102211200
4213013010020323000
51142001040104033
631143022541200
73014442664365
oct470704107300
9130348872750
1041994456768
111689a859a20
12817ba37800
133c633387b4
14206542246c
15115bb52013
hex9c7108ec0

41994456768 has 168 divisors, whose sum is σ = 132667888080. Its totient is φ = 12594216960.

The previous prime is 41994456719. The next prime is 41994456797. The reversal of 41994456768 is 86765449914.

41994456768 is a `hidden beast` number, since 4 + 1 + 9 + 9 + 4 + 4 + 567 + 68 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 580428 + ... + 648756.

It is an arithmetic number, because the mean of its divisors is an integer number (789689810).

Almost surely, 241994456768 is an apocalyptic number.

41994456768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41994456768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66333944040).

41994456768 is an abundant number, since it is smaller than the sum of its proper divisors (90673431312).

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

41994456768 is a wasteful number, since it uses less digits than its factorization.

41994456768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68455 (or 68442 counting only the distinct ones).

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

The spelling of 41994456768 in words is "forty-one billion, nine hundred ninety-four million, four hundred fifty-six thousand, seven hundred sixty-eight".