Search a number
-
+
48740717529 = 3272105132
BaseRepresentation
bin101101011001001011…
…000101001111011001
311122210211020222211100
4231121023011033121
51244310110430104
634220254422013
73343561156200
oct553113051731
9148724228740
1048740717529
1119741956539
129543201909
134799bc007a
1425053ac237
151404049139
hexb592c53d9

48740717529 has 27 divisors (see below), whose sum is σ = 81905459103. Its totient is φ = 27849189312.

The previous prime is 48740717503. The next prime is 48740717533. The reversal of 48740717529 is 92571704784.

The square root of 48740717529 is 220773.

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

48740717529 is a `hidden beast` number, since 4 + 8 + 7 + 40 + 71 + 7 + 529 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9272025 + 48731445504 = 3045^2 + 220752^2 .

It is not a de Polignac number, because 48740717529 - 27 = 48740717401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (48740717539) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4630977 + ... + 4641489.

Almost surely, 248740717529 is an apocalyptic number.

48740717529 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

48740717529 is the 220773-rd square number.

48740717529 is the 110387-th centered octagonal number.

It is an amenable number.

48740717529 is a deficient number, since it is larger than the sum of its proper divisors (33164741574).

48740717529 is an frugal number, since it uses more digits than its factorization.

48740717529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21046 (or 10523 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 48740717529 in words is "forty-eight billion, seven hundred forty million, seven hundred seventeen thousand, five hundred twenty-nine".

Divisors: 1 3 7 9 21 49 63 147 441 10513 31539 73591 94617 220773 515137 662319 1545411 4636233 110523169 331569507 773662183 994708521 2320986549 5415635281 6962959647 16246905843 48740717529