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41741068960 = 255267797453
BaseRepresentation
bin100110110111111101…
…100010101010100000
310222202000012000010001
4212313331202222200
51140441203201320
631101531545344
73005245142413
oct466775425240
9128660160101
1041741068960
111677a821a08
12810abbb254
133c229ab096
14203d903b7a
15114479e20a
hex9b7f62aa0

41741068960 has 48 divisors (see below), whose sum is σ = 98651124936. Its totient is φ = 16690019328.

The previous prime is 41741068951. The next prime is 41741068961. The reversal of 41741068960 is 6986014714.

It can be written as a sum of positive squares in 4 ways, for example, as 24509781136 + 17231287824 = 156556^2 + 131268^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 41741068960.

It is not an unprimeable number, because it can be changed into a prime (41741068961) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 379594 + ... + 477046.

Almost surely, 241741068960 is an apocalyptic number.

41741068960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41741068960 is an abundant number, since it is smaller than the sum of its proper divisors (56910055976).

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

41741068960 is a wasteful number, since it uses less digits than its factorization.

41741068960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100145 (or 100137 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The spelling of 41741068960 in words is "forty-one billion, seven hundred forty-one million, sixty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 2677 5354 10708 13385 21416 26770 42832 53540 85664 97453 107080 194906 214160 389812 428320 487265 779624 974530 1559248 1949060 3118496 3898120 7796240 15592480 260881681 521763362 1043526724 1304408405 2087053448 2608816810 4174106896 5217633620 8348213792 10435267240 20870534480 41741068960