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42280383816 = 233211127420349
BaseRepresentation
bin100111011000000110…
…110111010101001000
311001010121000001000100
4213120012313111020
51143042234240231
631231235205400
73024514222056
oct473006672510
9131117001010
1042280383816
1116a271a1170
12823b746860
133caa649bb8
1420913b11d6
151176cd11e6
hex9d81b7548

42280383816 has 96 divisors (see below), whose sum is σ = 125903232000. Its totient is φ = 12711323520.

The previous prime is 42280383791. The next prime is 42280383829. The reversal of 42280383816 is 61838308224.

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 23 ways as a sum of consecutive naturals, for example, 109591 + ... + 310758.

It is an arithmetic number, because the mean of its divisors is an integer number (1311492000).

Almost surely, 242280383816 is an apocalyptic number.

It is an amenable number.

42280383816 is an abundant number, since it is smaller than the sum of its proper divisors (83622848184).

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

42280383816 is a wasteful number, since it uses less digits than its factorization.

42280383816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420499 (or 420492 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 42280383816 in words is "forty-two billion, two hundred eighty million, three hundred eighty-three thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 127 132 198 254 264 381 396 508 762 792 1016 1143 1397 1524 2286 2794 3048 4191 4572 5588 8382 9144 11176 12573 16764 25146 33528 50292 100584 420349 840698 1261047 1681396 2522094 3362792 3783141 4623839 5044188 7566282 9247678 10088376 13871517 15132564 18495356 27743034 30265128 36990712 41614551 53384323 55486068 83229102 106768646 110972136 160152969 166458204 213537292 320305938 332916408 427074584 480458907 587227553 640611876 960917814 1174455106 1281223752 1761682659 1921835628 2348910212 3523365318 3843671256 4697820424 5285047977 7046730636 10570095954 14093461272 21140191908 42280383816