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42460209755808 = 2531334022603971
BaseRepresentation
bin10011010011110000010011…
…01110000011011010100000
312120100011020000121201220020
421221320021232003122200
521031132002144141213
6230145541233313440
711641435402656345
oct1151701156033240
9176304200551806
1042460209755808
1112590301520a19
1249190a6405880
131a8cc994b8cc0
14a6b1297c27cc
154d974a47a923
hex269e09b836a0

42460209755808 has 48 divisors (see below), whose sum is σ = 120031746813216. Its totient is φ = 13064679924480.

The previous prime is 42460209755779. The next prime is 42460209755867. The reversal of 42460209755808 is 80855790206424.

It is a tau number, because it is divible by the number of its divisors (48).

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, 17011300738 + ... + 17011303233.

It is an arithmetic number, because the mean of its divisors is an integer number (2500661391942).

Almost surely, 242460209755808 is an apocalyptic number.

42460209755808 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42460209755808 is an abundant number, since it is smaller than the sum of its proper divisors (77571537057408).

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

42460209755808 is a wasteful number, since it uses less digits than its factorization.

42460209755808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34022603997 (or 34022603989 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 60.

The spelling of 42460209755808 in words is "forty-two trillion, four hundred sixty billion, two hundred nine million, seven hundred fifty-five thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 34022603971 68045207942 102067811913 136090415884 204135623826 272180831768 408271247652 442293851623 544361663536 816542495304 884587703246 1088723327072 1326881554869 1633084990608 1769175406492 2653763109738 3266169981216 3538350812984 5307526219476 7076701625968 10615052438952 14153403251936 21230104877904 42460209755808