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54882020139264 = 283223820321241
BaseRepresentation
bin11000111101010001101110…
…10100001010000100000000
321012022200002100100111011100
430132220313110022010000
524143141334123424024
6312420241344014400
714363044423051563
oct1436506724120400
9235280070314140
1054882020139264
111653a37466300a
1261a4605601400
132481476ca8b56
14d7a4380664da
1565291991a7c9
hex31ea3750a100

54882020139264 has 54 divisors (see below), whose sum is σ = 158238394010606. Its totient is φ = 18294006712320.

The previous prime is 54882020139241. The next prime is 54882020139277. The reversal of 54882020139264 is 46293102028845.

54882020139264 is a `hidden beast` number, since 5 + 48 + 8 + 2 + 0 + 201 + 392 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 32078721060864 + 22803299078400 = 5663808^2 + 4775280^2 .

It is a super-2 number, since 2×548820201392642 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 54882020139264.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11910158317 + ... + 11910162924.

Almost surely, 254882020139264 is an apocalyptic number.

It is an amenable number.

54882020139264 is an abundant number, since it is smaller than the sum of its proper divisors (103356373871342).

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

54882020139264 is a wasteful number, since it uses less digits than its factorization.

54882020139264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23820321263 (or 23820321246 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 54882020139264 in words is "fifty-four trillion, eight hundred eighty-two billion, twenty million, one hundred thirty-nine thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 23820321241 47640642482 71460963723 95281284964 142921927446 190562569928 214382891169 285843854892 381125139856 428765782338 571687709784 762250279712 857531564676 1143375419568 1524500559424 1715063129352 2286750839136 3049001118848 3430126258704 4573501678272 6098002237696 6860252517408 9147003356544 13720505034816 18294006713088 27441010069632 54882020139264