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48426337449 = 3272109810289
BaseRepresentation
bin101101000110011011…
…110100010010101001
311121222220200211102200
4231012123310102221
51243134120244244
634125144250413
73333023035200
oct550633642251
9147886624380
1048426337449
11195a0450096
129475a70a09
134749a28b59
1424b5734237
1513d6649669
hexb466f44a9

48426337449 has 18 divisors (see below), whose sum is σ = 81369424890. Its totient is φ = 27672192576.

The previous prime is 48426337423. The next prime is 48426337507. The reversal of 48426337449 is 94473362484.

48426337449 is a `hidden beast` number, since 4 + 8 + 4 + 263 + 374 + 4 + 9 = 666.

48426337449 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 37326240000 + 11100097449 = 193200^2 + 105357^2 .

It is not a de Polignac number, because 48426337449 - 25 = 48426337417 is a prime.

It is a super-2 number, since 2×484263374492 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 48426337395 and 48426337404.

It is not an unprimeable number, because it can be changed into a prime (48426337049) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 54904704 + ... + 54905585.

It is an arithmetic number, because the mean of its divisors is an integer number (4520523605).

Almost surely, 248426337449 is an apocalyptic number.

48426337449 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

48426337449 is a deficient number, since it is larger than the sum of its proper divisors (32943087441).

48426337449 is a wasteful number, since it uses less digits than its factorization.

48426337449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109810309 (or 109810299 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 54.

The spelling of 48426337449 in words is "forty-eight billion, four hundred twenty-six million, three hundred thirty-seven thousand, four hundred forty-nine".

Divisors: 1 3 7 9 21 49 63 147 441 109810289 329430867 768672023 988292601 2306016069 5380704161 6918048207 16142112483 48426337449