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48228112881 = 3413218772
BaseRepresentation
bin101100111010100111…
…101001100111110001
311121111002200222110000
4230322213221213301
51242232344103011
634053343500213
73325065124044
oct547247514761
9147432628400
1048228112881
11194a9570033
12941b5b7669
134717943a00
142497294c5b
1513c4041356
hexb3a9e99f1

48228112881 has 45 divisors (see below), whose sum is σ = 78054230001. Its totient is φ = 29663026848.

The previous prime is 48228112847. The next prime is 48228112909. The reversal of 48228112881 is 18821182284.

The square root of 48228112881 is 219609.

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

48228112881 is a `hidden beast` number, since 482 + 2 + 81 + 12 + 8 + 81 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3267151281 + 44960961600 = 57159^2 + 212040^2 .

It is not a de Polignac number, because 48228112881 - 29 = 48228112369 is a prime.

It is a super-2 number, since 2×482281128812 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (48228112811) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 25693315 + ... + 25695191.

Almost surely, 248228112881 is an apocalyptic number.

48228112881 is the 219609-th square number.

48228112881 is the 109805-th centered octagonal number.

It is an amenable number.

48228112881 is a deficient number, since it is larger than the sum of its proper divisors (29826117120).

48228112881 is an frugal number, since it uses more digits than its factorization.

48228112881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3792 (or 1893 counting only the distinct ones).

The product of its digits is 131072, while the sum is 45.

The spelling of 48228112881 in words is "forty-eight billion, two hundred twenty-eight million, one hundred twelve thousand, eight hundred eighty-one".

Divisors: 1 3 9 13 27 39 81 117 169 351 507 1053 1521 1877 4563 5631 13689 16893 24401 50679 73203 152037 219609 317213 658827 951639 1976481 2854917 3523129 8564751 10569387 25694253 31708161 45800677 95124483 137402031 285373449 412206093 595408801 1236618279 1786226403 3709854837 5358679209 16076037627 48228112881