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41538650000 = 24551748869
BaseRepresentation
bin100110101011111001…
…010111111110010000
310222012220022001111112
4212223321113332100
51140032343300000
631025501232452
73000236461601
oct465371277620
9128186261445
1041538650000
1116686537611
128073262728
133bbca87a53
142020a91da8
151131b18235
hex9abe57f90

41538650000 has 120 divisors (see below), whose sum is σ = 106514510760. Its totient is φ = 15637760000.

The previous prime is 41538649991. The next prime is 41538650053. The reversal of 41538650000 is 5683514.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 41465991424 + 72658576 = 203632^2 + 8524^2 .

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, 825566 + ... + 874434.

It is an arithmetic number, because the mean of its divisors is an integer number (887620923).

Almost surely, 241538650000 is an apocalyptic number.

41538650000 is a gapful number since it is divisible by the number (40) 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 41538650000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53257255380).

41538650000 is an abundant number, since it is smaller than the sum of its proper divisors (64975860760).

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

41538650000 is an equidigital number, since it uses as much as digits as its factorization.

41538650000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48919 (or 48893 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The spelling of 41538650000 in words is "forty-one billion, five hundred thirty-eight million, six hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 500 625 680 850 1000 1250 1360 1700 2000 2125 2500 3125 3400 4250 5000 6250 6800 8500 10000 10625 12500 17000 21250 25000 34000 42500 48869 50000 53125 85000 97738 106250 170000 195476 212500 244345 390952 425000 488690 781904 830773 850000 977380 1221725 1661546 1954760 2443450 3323092 3909520 4153865 4886900 6108625 6646184 8307730 9773800 12217250 13292368 16615460 19547600 20769325 24434500 30543125 33230920 41538650 48869000 61086250 66461840 83077300 97738000 103846625 122172500 152715625 166154600 207693250 244345000 305431250 332309200 415386500 488690000 519233125 610862500 830773000 1038466250 1221725000 1661546000 2076932500 2443450000 2596165625 4153865000 5192331250 8307730000 10384662500 20769325000 41538650000