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48683508345 = 3251763638573
BaseRepresentation
bin101101010101110000…
…110110001001111001
311122122211121110120200
4231111300312021321
51244200434231340
634210452312413
73342264664443
oct552560661171
9148584543520
1048683508345
111971263141a
129528012709
13478b0ac494
1424db959493
1513edee8330
hexb55c36279

48683508345 has 24 divisors (see below), whose sum is σ = 89348557896. Its totient is φ = 24437211648.

The previous prime is 48683508337. The next prime is 48683508421. The reversal of 48683508345 is 54380538684.

48683508345 is a `hidden beast` number, since 48 + 68 + 3 + 508 + 34 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3073926249 + 45609582096 = 55443^2 + 213564^2 .

It is not a de Polignac number, because 48683508345 - 23 = 48683508337 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 48683508291 and 48683508300.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 31818522 + ... + 31820051.

It is an arithmetic number, because the mean of its divisors is an integer number (3722856579).

Almost surely, 248683508345 is an apocalyptic number.

48683508345 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

48683508345 is a deficient number, since it is larger than the sum of its proper divisors (40665049551).

48683508345 is a wasteful number, since it uses less digits than its factorization.

48683508345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63638601 (or 63638598 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 48683508345 in words is "forty-eight billion, six hundred eighty-three million, five hundred eight thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 63638573 190915719 318192865 572747157 954578595 1081855741 2863735785 3245567223 5409278705 9736701669 16227836115 48683508345