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46728171889 = 72308812
BaseRepresentation
bin101011100001001101…
…110101000101110001
311110121120022002012221
4223201031311011301
51231144403000024
633244442521041
73242652623200
oct534115650561
9143546262187
1046728171889
11188a9920183
129081206181
134538c72569
142393da9237
1513375093e4
hexae1375171

46728171889 has 9 divisors (see below), whose sum is σ = 54359021451. Its totient is φ = 40051421760.

The previous prime is 46728171883. The next prime is 46728171901. The reversal of 46728171889 is 98817182764.

The square root of 46728171889 is 216167.

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

46728171889 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., 45191531889 + 1536640000 = 212583^2 + 39200^2 .

It is not a de Polignac number, because 46728171889 - 25 = 46728171857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (46728171883) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1497729 + ... + 1528609.

Almost surely, 246728171889 is an apocalyptic number.

46728171889 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

46728171889 is the 216167-th square number.

46728171889 is the 108084-th centered octagonal number.

It is an amenable number.

46728171889 is a deficient number, since it is larger than the sum of its proper divisors (7630849562).

46728171889 is an frugal number, since it uses more digits than its factorization.

46728171889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61776 (or 30888 counting only the distinct ones).

The product of its digits is 10838016, while the sum is 61.

The spelling of 46728171889 in words is "forty-six billion, seven hundred twenty-eight million, one hundred seventy-one thousand, eight hundred eighty-nine".

Divisors: 1 7 49 30881 216167 1513169 953636161 6675453127 46728171889