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48730683105 = 33513191461409
BaseRepresentation
bin101101011000100100…
…110011011011100001
311122210010101012012000
4231120210303123201
51244300023324410
634215255354213
73343406654256
oct553044633341
9148703335160
1048730683105
1119737222525
12953b982969
134797ab8940
142503d1942d
151403215dc0
hexb589336e1

48730683105 has 64 divisors (see below), whose sum is σ = 98206752000. Its totient is φ = 22727817216.

The previous prime is 48730683097. The next prime is 48730683137. The reversal of 48730683105 is 50138603784.

48730683105 is a `hidden beast` number, since 487 + 3 + 0 + 68 + 3 + 105 = 666.

48730683105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 48730683105 - 23 = 48730683097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 697360 + ... + 764049.

It is an arithmetic number, because the mean of its divisors is an integer number (1534480500).

Almost surely, 248730683105 is an apocalyptic number.

48730683105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

48730683105 is an abundant number, since it is smaller than the sum of its proper divisors (49476068895).

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

48730683105 is a wasteful number, since it uses less digits than its factorization.

48730683105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1461455 (or 1461449 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 48730683105 in words is "forty-eight billion, seven hundred thirty million, six hundred eighty-three thousand, one hundred five".

Divisors: 1 3 5 9 13 15 19 27 39 45 57 65 95 117 135 171 195 247 285 351 513 585 741 855 1235 1755 2223 2565 3705 6669 11115 33345 1461409 4384227 7307045 13152681 18998317 21921135 27766771 39458043 56994951 65763405 83300313 94991585 138833855 170984853 197290215 249900939 284974755 360968023 416501565 512954559 749702817 854924265 1082904069 1249504695 1804840115 2564772795 3248712207 3748514085 5414520345 9746136621 16243561035 48730683105