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54786377368745 = 5118873257344801
BaseRepresentation
bin11000111010011111100101…
…00011111100010010101001
321011222112012211121100002022
430131033302203330102221
524140110000101244440
6312304303031314225
714353120334654201
oct1435176243742251
9234875184540068
1054786377368745
1116502854823a10
126189b72b1b975
132475444105809
14d75963989401
156501bcebbcb5
hex31d3f28fc4a9

54786377368745 has 32 divisors (see below), whose sum is σ = 71823459269376. Its totient is φ = 39787382272000.

The previous prime is 54786377368741. The next prime is 54786377368757.

It is a happy number.

54786377368745 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54786377368745 - 22 = 54786377368741 is a prime.

It is a super-3 number, since 3×547863773687453 (a number of 42 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 54786377368745.

It is not an unprimeable number, because it can be changed into a prime (54786377368741) 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, 158720345 + ... + 159065145.

It is an arithmetic number, because the mean of its divisors is an integer number (2244483102168).

Almost surely, 254786377368745 is an apocalyptic number.

54786377368745 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54786377368745 is a deficient number, since it is larger than the sum of its proper divisors (17037081900631).

54786377368745 is a wasteful number, since it uses less digits than its factorization.

54786377368745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348961.

The product of its digits is 19914854400, while the sum is 80.

The spelling of 54786377368745 in words is "fifty-four trillion, seven hundred eighty-six billion, three hundred seventy-seven million, three hundred sixty-eight thousand, seven hundred forty-five".

Divisors: 1 5 11 55 887 3257 4435 9757 16285 35827 48785 179135 344801 1724005 2888959 3792811 14444795 18964055 31778549 158892745 305838487 1123016857 1529192435 3364223357 5615084285 12353185427 16821116785 61765927135 996115952159 4980579760795 10957275473749 54786377368745