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54105601603985 = 519636978941279
BaseRepresentation
bin11000100110101011100010…
…01010011111100110010001
321002120110000101220021101222
430103111301022133212101
524042431233002311420
6311023434212134425
714253000150306551
oct1423256112374621
9232513011807358
1054105601603985
1116270069636838
12609a040607415
1324261a06c76c9
14d50a2190d161
1563c6269e4225
hex31357129f991

54105601603985 has 16 divisors (see below), whose sum is σ = 68344998412800. Its totient is φ = 41005702331136.

The previous prime is 54105601603979. The next prime is 54105601604039. The reversal of 54105601603985 is 58930610650145.

It is a happy number.

54105601603985 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 54105601603985 - 222 = 54105597409681 is a prime.

It is a super-2 number, since 2×541056016039852 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1580576 + ... + 10521854.

It is an arithmetic number, because the mean of its divisors is an integer number (4271562400800).

Almost surely, 254105601603985 is an apocalyptic number.

It is an amenable number.

54105601603985 is a deficient number, since it is larger than the sum of its proper divisors (14239396808815).

54105601603985 is a wasteful number, since it uses less digits than its factorization.

54105601603985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9005000.

The product of its (nonzero) digits is 3888000, while the sum is 53.

The spelling of 54105601603985 in words is "fifty-four trillion, one hundred five billion, six hundred one million, six hundred three thousand, nine hundred eighty-five".

Divisors: 1 5 19 95 63697 318485 1210243 6051215 8941279 44706395 169884301 849421505 569532648463 2847663242315 10821120320797 54105601603985