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42839465900895 = 3256416432309737
BaseRepresentation
bin10011011110110010101110…
…01001011011101101011111
312121200102011000222002112100
421233121113021123231133
521103340211232312040
6231040102352540143
712011022621010266
oct1157312711335537
9177612130862470
1042839465900895
111271712a751074
12497a6aa551653
131ab998a2c6c81
14a8162698b5dd
154e4545b71b30
hex26f65725bb5f

42839465900895 has 48 divisors (see below), whose sum is σ = 74486611416672. Its totient is φ = 22776583864320.

The previous prime is 42839465900867. The next prime is 42839465900909. The reversal of 42839465900895 is 59800956493824.

42839465900895 is a `hidden beast` number, since 4 + 2 + 8 + 394 + 65 + 90 + 0 + 8 + 95 = 666.

It is not a de Polignac number, because 42839465900895 - 25 = 42839465900863 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17392467 + ... + 19702203.

It is an arithmetic number, because the mean of its divisors is an integer number (1551804404514).

Almost surely, 242839465900895 is an apocalyptic number.

42839465900895 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42839465900895 is a deficient number, since it is larger than the sum of its proper divisors (31647145515777).

42839465900895 is a wasteful number, since it uses less digits than its factorization.

42839465900895 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2311032 (or 2311029 counting only the distinct ones).

The product of its (nonzero) digits is 671846400, while the sum is 72.

The spelling of 42839465900895 in words is "forty-two trillion, eight hundred thirty-nine billion, four hundred sixty-five million, nine hundred thousand, eight hundred ninety-five".

Divisors: 1 3 5 9 15 45 641 643 1923 1929 3205 3215 5769 5787 9615 9645 28845 28935 412163 1236489 2060815 2309737 3709467 6182445 6929211 11548685 18547335 20787633 34646055 103938165 1480541417 1485160891 4441624251 4455482673 7402707085 7425804455 13324872753 13366448019 22208121255 22277413365 66624363765 66832240095 951988131131 2855964393393 4759940655655 8567893180179 14279821966965 42839465900895