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54054454344345 = 325713103128156417
BaseRepresentation
bin11000100101001100010001…
…00011001011101010011001
321002101112222212022021102100
430102212020203023222121
524041112010303004340
6310544135024554013
714246206524625530
oct1422461043135231
9232345885267370
1054054454344345
111625040230a624
126090147482909
13242140c06b030
14d4c36ca9b317
1563b131580830
hex3129888cba99

54054454344345 has 96 divisors (see below), whose sum is σ = 116435744635392. Its totient is φ = 22588337258496.

The previous prime is 54054454344221. The next prime is 54054454344379. The reversal of 54054454344345 is 54344345445045.

It is a happy number.

54054454344345 is a `hidden beast` number, since 5 + 4 + 0 + 54 + 4 + 543 + 4 + 4 + 3 + 45 = 666.

It is not a de Polignac number, because 54054454344345 - 27 = 54054454344217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54054454344291 and 54054454344300.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63656424 + ... + 64499993.

It is an arithmetic number, because the mean of its divisors is an integer number (1212872339952).

Almost surely, 254054454344345 is an apocalyptic number.

It is an amenable number.

54054454344345 is an abundant number, since it is smaller than the sum of its proper divisors (62381290291047).

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

54054454344345 is a wasteful number, since it uses less digits than its factorization.

54054454344345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128156551 (or 128156548 counting only the distinct ones).

The product of its (nonzero) digits is 92160000, while the sum is 54.

The spelling of 54054454344345 in words is "fifty-four trillion, fifty-four billion, four hundred fifty-four million, three hundred forty-four thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 63 65 91 103 105 117 195 273 309 315 455 515 585 721 819 927 1339 1365 1545 2163 3605 4017 4095 4635 6489 6695 9373 10815 12051 20085 28119 32445 46865 60255 84357 140595 421785 128156417 384469251 640782085 897094919 1153407753 1666033421 1922346255 2691284757 4485474595 4998100263 5767038765 8073854271 8330167105 11662233947 13200110951 13456423785 14994300789 24990501315 34986701841 39600332853 40369271355 58311169735 66000554755 74971503945 92400776657 104960105523 118800998559 171601442363 174933509205 198001664265 277202329971 462003883285 514804327089 524800527615 594004992795 831606989913 858007211815 1201210096541 1386011649855 1544412981267 2574021635445 3603630289623 4158034949565 6006050482705 7722064906335 10810890868869 18018151448115 54054454344345