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54105601603986 = 2336473214348179
BaseRepresentation
bin11000100110101011100010…
…01010011111100110010010
321002120110000101220021102000
430103111301022133212102
524042431233002311421
6311023434212134430
714253000150306552
oct1423256112374622
9232513011807360
1054105601603986
1116270069636839
12609a040607416
1324261a06c76ca
14d50a2190d162
1563c6269e4226
hex31357129f992

54105601603986 has 64 divisors (see below), whose sum is σ = 120426750259200. Its totient is φ = 18006391445328.

The previous prime is 54105601603979. The next prime is 54105601604039. The reversal of 54105601603986 is 68930610650145.

54105601603986 is a `hidden beast` number, since 5 + 4 + 10 + 560 + 1 + 60 + 3 + 9 + 8 + 6 = 666.

54105601603986 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×541056016039862 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 31 ways as a sum of consecutive naturals, for example, 1122988045 + ... + 1123036223.

It is an arithmetic number, because the mean of its divisors is an integer number (1881667972800).

Almost surely, 254105601603986 is an apocalyptic number.

54105601603986 is an abundant number, since it is smaller than the sum of its proper divisors (66321148655214).

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

54105601603986 is a wasteful number, since it uses less digits than its factorization.

54105601603986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80980 (or 80974 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 54105601603986 in words is "fifty-four trillion, one hundred five billion, six hundred one million, six hundred three thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 9 18 27 54 647 1294 1941 3882 5823 11646 17469 32143 34938 48179 64286 96358 96429 144537 192858 289074 289287 433611 578574 867222 867861 1300833 1735722 2601666 20796521 31171813 41593042 62343626 62389563 93515439 124779126 187030878 187168689 280546317 374337378 561092634 561506067 841638951 1123012134 1548617597 1683277902 3097235194 4645852791 9291705582 13937558373 27875116746 41812675119 83625350238 1001955585259 2003911170518 3005866755777 6011733511554 9017600267331 18035200534662 27052800801993 54105601603986