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41329796832 = 25332937109409
BaseRepresentation
bin100110011111011100…
…101010011011100000
310221200100022012211000
4212133130222123200
51134120411444312
630553040552000
72662122322332
oct463734523340
9127610265730
1041329796832
1116589658095
128015322600
133b88720bac
142001047452
15111d610adc
hex99f72a6e0

41329796832 has 384 divisors, whose sum is σ = 129563280000. Its totient is φ = 12791955456.

The previous prime is 41329796821. The next prime is 41329796897. The reversal of 41329796832 is 23869792314.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 101050644 + ... + 101051052.

It is an arithmetic number, because the mean of its divisors is an integer number (337404375).

Almost surely, 241329796832 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 41329796832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64781640000).

41329796832 is an abundant number, since it is smaller than the sum of its proper divisors (88233483168).

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

41329796832 is a wasteful number, since it uses less digits than its factorization.

41329796832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 589 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The spelling of 41329796832 in words is "forty-one billion, three hundred twenty-nine million, seven hundred ninety-six thousand, eight hundred thirty-two".