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42728444760 = 2335367970219
BaseRepresentation
bin100111110010110100…
…000101001101011000
311002021211002220002010
4213302310011031120
51200001440213020
631343522505520
73041564534151
oct476264051530
9132254086063
1042728444760
1117137102a71
1283458052a0
13404c418111
1420d4ac6928
1511a12d9de0
hex9f2d05358

42728444760 has 64 divisors (see below), whose sum is σ = 128534745600. Its totient is φ = 11363193216.

The previous prime is 42728444729. The next prime is 42728444779. The reversal of 42728444760 is 6744482724.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 441070 + ... + 529149.

It is an arithmetic number, because the mean of its divisors is an integer number (2008355400).

Almost surely, 242728444760 is an apocalyptic number.

42728444760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42728444760 is an abundant number, since it is smaller than the sum of its proper divisors (85806300840).

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

42728444760 is a wasteful number, since it uses less digits than its factorization.

42728444760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970600 (or 970596 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 48.

The spelling of 42728444760 in words is "forty-two billion, seven hundred twenty-eight million, four hundred forty-four thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 367 734 1101 1468 1835 2202 2936 3670 4404 5505 7340 8808 11010 14680 22020 44040 970219 1940438 2910657 3880876 4851095 5821314 7761752 9702190 11642628 14553285 19404380 23285256 29106570 38808760 58213140 116426280 356070373 712140746 1068211119 1424281492 1780351865 2136422238 2848562984 3560703730 4272844476 5341055595 7121407460 8545688952 10682111190 14242814920 21364222380 42728444760