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306699978025 = 5272158232
BaseRepresentation
bin1000111011010001011…
…11100100010100101001
31002022122110010011202101
410131220233210110221
520011110143244100
6352521312533401
731105211541100
oct4355057442451
91068573104671
10306699978025
11109086161a21
124b535251261
1322bc9c29a4c
1410bb6cc1037
157ea09b286a
hex4768be4529

306699978025 has 27 divisors (see below), whose sum is σ = 442427031351. Its totient is φ = 210295265040.

The previous prime is 306699978023. The next prime is 306699978061. The reversal of 306699978025 is 520879996603.

The square root of 306699978025 is 553805.

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

It can be written as a sum of positive squares in only one way, i.e., 110411992089 + 196287985936 = 332283^2 + 443044^2 .

It is not a de Polignac number, because 306699978025 - 21 = 306699978023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (306699978023) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 19375264 + ... + 19391086.

Almost surely, 2306699978025 is an apocalyptic number.

306699978025 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

306699978025 is the 553805-th square number.

306699978025 is the 276903-rd centered octagonal number.

It is an amenable number.

306699978025 is a deficient number, since it is larger than the sum of its proper divisors (135727053326).

306699978025 is an frugal number, since it uses more digits than its factorization.

306699978025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31670 (or 15835 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 64.

Multiplying 306699978025 by its sum of digits (64), we get a square (19628798593600 = 44304402).

The spelling of 306699978025 in words is "three hundred six billion, six hundred ninety-nine million, nine hundred seventy-eight thousand, twenty-five".

Divisors: 1 5 7 25 35 49 175 245 1225 15823 79115 110761 395575 553805 775327 2769025 3876635 19383175 250367329 1251836645 1752571303 6259183225 8762856515 12267999121 43814282575 61339995605 306699978025