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54725280768 = 210325938073
BaseRepresentation
bin110010111101111000…
…011000010000000000
312020020220021022020200
4302331320120100000
51344034132441033
641050200405200
73645100132344
oct627570302000
9166226238220
1054725280768
1121232aa3474
12a733476800
135211a12752
14291211d624
151654633013
hexcbde18400

54725280768 has 66 divisors (see below), whose sum is σ = 158018087214. Its totient is φ = 18241757184.

The previous prime is 54725280761. The next prime is 54725280769. The reversal of 54725280768 is 86708252745.

54725280768 is a `hidden beast` number, since 5 + 47 + 2 + 528 + 0 + 76 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 50118672384 + 4606608384 = 223872^2 + 67872^2 .

It is not an unprimeable number, because it can be changed into a prime (54725280761) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2959821 + ... + 2978252.

Almost surely, 254725280768 is an apocalyptic number.

It is an amenable number.

54725280768 is an abundant number, since it is smaller than the sum of its proper divisors (103292806446).

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

54725280768 is a wasteful number, since it uses less digits than its factorization.

54725280768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5938099 (or 5938078 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 54725280768 in words is "fifty-four billion, seven hundred twenty-five million, two hundred eighty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 9216 5938073 11876146 17814219 23752292 35628438 47504584 53442657 71256876 95009168 106885314 142513752 190018336 213770628 285027504 380036672 427541256 570055008 760073344 855082512 1140110016 1520146688 1710165024 2280220032 3040293376 3420330048 4560440064 6080586752 6840660096 9120880128 13681320192 18241760256 27362640384 54725280768