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41518952644 = 221321724612
BaseRepresentation
bin100110101010101110…
…001111000011000100
310222011112020022210211
4212222232033003010
51140012322441034
631023515125204
72666610163111
oct465256170304
9128145208724
1041518952644
1116676403704
128068743804
133bb897c300
14201c205908
151130026d64
hex9aab8f0c4

41518952644 has 81 divisors (see below), whose sum is σ = 83759185461. Its totient is φ = 17996259840.

The previous prime is 41518952633. The next prime is 41518952659. The reversal of 41518952644 is 44625981514.

The square root of 41518952644 is 203762.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 31741698244 + 9777254400 = 178162^2 + 98880^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 90062574 + ... + 90063034.

Almost surely, 241518952644 is an apocalyptic number.

41518952644 is the 203762-nd square number.

It is an amenable number.

41518952644 is an abundant number, since it is smaller than the sum of its proper divisors (42240232817).

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

41518952644 is a wasteful number, since it uses less digits than its factorization.

41518952644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 493 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 49.

Multiplying 41518952644 by its sum of digits (49), we get a square (2034428679556 = 14263342).

The spelling of 41518952644 in words is "forty-one billion, five hundred eighteen million, nine hundred fifty-two thousand, six hundred forty-four".

Divisors: 1 2 4 13 17 26 34 52 68 169 221 289 338 442 461 578 676 884 922 1156 1844 2873 3757 5746 5993 7514 7837 11492 11986 15028 15674 23972 31348 48841 77909 97682 101881 133229 155818 195364 203762 212521 266458 311636 407524 425042 532916 850084 1324453 1731977 2648906 2762773 3463954 3612857 5297812 5525546 6927908 7225714 11051092 14451428 22515701 35916049 45031402 46967141 61418569 71832098 90062804 93934282 122837138 143664196 187868564 245674276 610572833 798441397 1221145666 1596882794 2442291332 3193765588 10379738161 20759476322 41518952644