Base | Representation |
---|---|
bin | 11000110011011001100110… |
… | …11101101111011010000000 |
3 | 21011010020010021102222212000 |
4 | 30121230303131233122000 |
5 | 24122111323200020042 |
6 | 312000314323104000 |
7 | 14326401535043463 |
oct | 1431546335573200 |
9 | 234106107388760 |
10 | 54542653126272 |
11 | 16419455847233 |
12 | 614a894212000 |
13 | 24584722a301c |
14 | d67c428492da |
15 | 648ba610b74c |
hex | 319b3376f680 |
54542653126272 has 128 divisors (see below), whose sum is σ = 161078287392000. Its totient is φ = 18169397471232.
The previous prime is 54542653126271. The next prime is 54542653126337. The reversal of 54542653126272 is 27262135624545.
54542653126272 is a `hidden beast` number, since 5 + 4 + 5 + 4 + 2 + 6 + 5 + 3 + 1 + 2 + 627 + 2 = 666.
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is not an unprimeable number, because it can be changed into a prime (54542653126271) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 486004 + ... + 10455692.
It is an arithmetic number, because the mean of its divisors is an integer number (1258424120250).
Almost surely, 254542653126272 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 54542653126272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80539143696000).
54542653126272 is an abundant number, since it is smaller than the sum of its proper divisors (106535634265728).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
54542653126272 is a wasteful number, since it uses less digits than its factorization.
54542653126272 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9971295 (or 9971277 counting only the distinct ones).
The product of its digits is 24192000, while the sum is 54.
The spelling of 54542653126272 in words is "fifty-four trillion, five hundred forty-two billion, six hundred fifty-three million, one hundred twenty-six thousand, two hundred seventy-two".
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