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54054390016 = 2811213212
BaseRepresentation
bin110010010101111001…
…001000100100000000
312011112010212112011001
4302111321020210000
51341200410440031
640455433101344
73622342506544
oct622571104400
9164463775131
1054054390016
1120a19326300
12a586857854
135135a25a83
14288ada1a24
1516157b0861
hexc95e48900

54054390016 has 81 divisors (see below), whose sum is σ = 118688068569. Its totient is φ = 24551577600.

The previous prime is 54054389999. The next prime is 54054390029. The reversal of 54054390016 is 61009345045.

The square root of 54054390016 is 232496.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 50039900416 + 4014489600 = 223696^2 + 63360^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 40918636 + ... + 40919956.

Almost surely, 254054390016 is an apocalyptic number.

54054390016 is the 232496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54054390016

54054390016 is an abundant number, since it is smaller than the sum of its proper divisors (64633678553).

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

54054390016 is an frugal number, since it uses more digits than its factorization.

54054390016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2680 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 37.

The spelling of 54054390016 in words is "fifty-four billion, fifty-four million, three hundred ninety thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 704 968 1321 1408 1936 2642 2816 3872 5284 7744 10568 14531 15488 21136 29062 30976 42272 58124 84544 116248 159841 169088 232496 319682 338176 464992 639364 929984 1278728 1745041 1859968 2557456 3490082 3719936 5114912 6980164 10229824 13960328 19195451 20459648 27920656 38390902 40919296 55841312 76781804 111682624 153563608 211149961 223365248 307127216 422299922 446730496 614254432 844599844 1228508864 1689199688 2457017728 3378399376 4914035456 6756798752 13513597504 27027195008 54054390016