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42408435776 = 267671412861
BaseRepresentation
bin100111011111101111…
…010110000001000000
311001110111221202021112
4213133233112001000
51143323024421101
631252051542452
73030630520310
oct473757260100
9131414852245
1042408435776
1116a92502533
1282765baa28
133ccb032aa5
1420a43c5440
1511831776bb
hex9dfbd6040

42408435776 has 56 divisors (see below), whose sum is σ = 97611809856. Its totient is φ = 17903761920.

The previous prime is 42408435697. The next prime is 42408435787. The reversal of 42408435776 is 67753480424.

42408435776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 676415 + ... + 736446.

Almost surely, 242408435776 is an apocalyptic number.

It is an amenable number.

42408435776 is an abundant number, since it is smaller than the sum of its proper divisors (55203374080).

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

42408435776 is a wasteful number, since it uses less digits than its factorization.

42408435776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1412947 (or 1412937 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 50.

The spelling of 42408435776 in words is "forty-two billion, four hundred eight million, four hundred thirty-five thousand, seven hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 67 112 134 224 268 448 469 536 938 1072 1876 2144 3752 4288 7504 15008 30016 1412861 2825722 5651444 9890027 11302888 19780054 22605776 39560108 45211552 79120216 90423104 94661687 158240432 189323374 316480864 378646748 632961728 662631809 757293496 1325263618 1514586992 2650527236 3029173984 5301054472 6058347968 10602108944 21204217888 42408435776