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54008051401939 = 4771983120113709
BaseRepresentation
bin11000100011110101110101…
…01110000000010011010011
321002020010012221222120011211
430101322322232000103103
524034331442124330224
6310510542320520551
714242644601261255
oct1421727256002323
9232203187876154
1054008051401939
1116232760036148
126083157180157
132419c255bb06b
14d4a009d91cd5
15639d178ba894
hex311ebab804d3

54008051401939 has 32 divisors (see below), whose sum is σ = 56041629511680. Its totient is φ = 52014293184000.

The previous prime is 54008051401891. The next prime is 54008051401991. The reversal of 54008051401939 is 93910415080045.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 54008051401939 - 211 = 54008051399891 is a prime.

It is a super-3 number, since 3×540080514019393 (a number of 42 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 54008051401892 and 54008051401901.

It is not an unprimeable number, because it can be changed into a prime (54008051491939) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3939598617 + ... + 3939612325.

It is an arithmetic number, because the mean of its divisors is an integer number (1751300922240).

Almost surely, 254008051401939 is an apocalyptic number.

54008051401939 is a deficient number, since it is larger than the sum of its proper divisors (2033578109741).

54008051401939 is a wasteful number, since it uses less digits than its factorization.

54008051401939 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16011.

The product of its (nonzero) digits is 777600, while the sum is 49.

The spelling of 54008051401939 in words is "fifty-four trillion, eight billion, fifty-one million, four hundred one thousand, nine hundred thirty-nine".

Divisors: 1 47 71 983 1201 3337 13709 46201 56447 69793 85271 644323 973339 1180583 3280271 4007737 13475947 16464509 45746933 55487401 83821393 633369509 773831923 956792237 1168980139 3939605471 16184612347 44969235139 54942066533 760676780309 1149107476637 54008051401939