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306468531216 = 2432461332
BaseRepresentation
bin1000111010110101111…
…00101010110000010000
31002022001022121110102100
410131122330222300100
520010121420444331
6352442324120400
731066401351051
oct4353274526020
91068038543370
10306468531216
11108a77550571
124b48b836100
1322b90cb2083
1410b94274728
157e8a4e5ae6
hex475af2ac10

306468531216 has 45 divisors (see below), whose sum is σ = 857704828669. Its totient is φ = 102153962688.

The previous prime is 306468531197. The next prime is 306468531221. The reversal of 306468531216 is 612135864603.

The square root of 306468531216 is 553596.

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

306468531216 is a `hidden beast` number, since 30 + 6 + 4 + 68 + 531 + 21 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 181220490000 + 125248041216 = 425700^2 + 353904^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6620086 + ... + 6666218.

Almost surely, 2306468531216 is an apocalyptic number.

306468531216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

306468531216 is the 553596-th square number.

It is an amenable number.

306468531216 is an abundant number, since it is smaller than the sum of its proper divisors (551236297453).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

306468531216 is an frugal number, since it uses more digits than its factorization.

306468531216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92280 (or 46138 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 306468531216 in words is "three hundred six billion, four hundred sixty-eight million, five hundred thirty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 46133 92266 138399 184532 276798 369064 415197 553596 738128 830394 1107192 1660788 2214384 3321576 6643152 2128253689 4256507378 6384761067 8513014756 12769522134 17026029512 19154283201 25539044268 34052059024 38308566402 51078088536 76617132804 102156177072 153234265608 306468531216