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41493662928 = 2432773372769
BaseRepresentation
bin100110101001001101…
…110000110011010000
310222002202122110211200
4212221031300303100
51134434334203203
631021213111200
72666152213134
oct465115606320
9128082573750
1041493662928
1116663100113
128060188500
133bb3666293
142018b013c4
15112cbcd9a3
hex9a9370cd0

41493662928 has 60 divisors (see below), whose sum is σ = 116275163940. Its totient is φ = 13813291008.

The previous prime is 41493662897. The next prime is 41493662929. The reversal of 41493662928 is 82926639414.

41493662928 is a `hidden beast` number, since 4 + 1 + 4 + 9 + 3 + 6 + 629 + 2 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18319081104 + 23174581824 = 135348^2 + 152232^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41493662929) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75073 + ... + 297696.

It is an arithmetic number, because the mean of its divisors is an integer number (1937919399).

Almost surely, 241493662928 is an apocalyptic number.

41493662928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

41493662928 is an abundant number, since it is smaller than the sum of its proper divisors (74781501012).

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

41493662928 is a wasteful number, since it uses less digits than its factorization.

41493662928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373556 (or 373547 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The spelling of 41493662928 in words is "forty-one billion, four hundred ninety-three million, six hundred sixty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 773 1546 2319 3092 4638 6184 6957 9276 12368 13914 18552 27828 37104 55656 111312 372769 745538 1118307 1491076 2236614 2982152 3354921 4473228 5964304 6709842 8946456 13419684 17892912 26839368 53678736 288150437 576300874 864451311 1152601748 1728902622 2305203496 2593353933 3457805244 4610406992 5186707866 6915610488 10373415732 13831220976 20746831464 41493662928