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54283759056 = 2432929405781
BaseRepresentation
bin110010100011100100…
…000110110111010000
312012010010110200022200
4302203210012313100
51342133120242211
640534305203200
73631126224132
oct624344066720
9165103420280
1054283759056
112102684869a
12a62b630500
1351713c3ab7
1428ad62b052
15162a9bbb56
hexca3906dd0

54283759056 has 60 divisors (see below), whose sum is σ = 152083035780. Its totient is φ = 18075064320.

The previous prime is 54283759021. The next prime is 54283759073. The reversal of 54283759056 is 65095738245.

54283759056 is a `hidden beast` number, since 5 + 42 + 8 + 3 + 7 + 590 + 5 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16874010000 + 37409749056 = 129900^2 + 193416^2 .

It is a super-2 number, since 2×542837590562 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 54283758993 and 54283759011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69115 + ... + 336666.

It is an arithmetic number, because the mean of its divisors is an integer number (2534717263).

Almost surely, 254283759056 is an apocalyptic number.

It is an amenable number.

54283759056 is an abundant number, since it is smaller than the sum of its proper divisors (97799276724).

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

54283759056 is a wasteful number, since it uses less digits than its factorization.

54283759056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406724 (or 406715 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 54283759056 in words is "fifty-four billion, two hundred eighty-three million, seven hundred fifty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 929 1858 2787 3716 5574 7432 8361 11148 14864 16722 22296 33444 44592 66888 133776 405781 811562 1217343 1623124 2434686 3246248 3652029 4869372 6492496 7304058 9738744 14608116 19477488 29216232 58432464 376970549 753941098 1130911647 1507882196 2261823294 3015764392 3392734941 4523646588 6031528784 6785469882 9047293176 13570939764 18094586352 27141879528 54283759056