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41334826848 = 253761510159
BaseRepresentation
bin100110011111101111…
…110110011101100000
310221200200202202200220
4212133233312131200
51134123203424343
630553340443040
72662213142160
oct463757663540
9127620682626
1041334826848
1116591483227
128016b49480
133b89792533
1420019965a0
15111dca6183
hex99fbf6760

41334826848 has 48 divisors (see below), whose sum is σ = 124004482560. Its totient is φ = 11809950336.

The previous prime is 41334826843. The next prime is 41334826867. The reversal of 41334826848 is 84862843314.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 41334826848.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41334826843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30754408 + ... + 30755751.

It is an arithmetic number, because the mean of its divisors is an integer number (2583426720).

Almost surely, 241334826848 is an apocalyptic number.

41334826848 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

41334826848 is an abundant number, since it is smaller than the sum of its proper divisors (82669655712).

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

41334826848 is a wasteful number, since it uses less digits than its factorization.

41334826848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61510179 (or 61510171 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 51.

The spelling of 41334826848 in words is "forty-one billion, three hundred thirty-four million, eight hundred twenty-six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 61510159 123020318 184530477 246040636 369060954 430571113 492081272 738121908 861142226 984162544 1291713339 1476243816 1722284452 1968325088 2583426678 2952487632 3444568904 5166853356 5904975264 6889137808 10333706712 13778275616 20667413424 41334826848