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428976531369 = 3223329372
BaseRepresentation
bin1100011111000001111…
…11100110011110101001
31112000021010000200100100
412033200333212132221
524012020443000434
6525022531500013
742664303232211
oct6174077463651
91460233020310
10428976531369
11155a23083291
126b17b457609
13315b596a0a9
1416a96711241
15b25a757699
hex63e0fe67a9

428976531369 has 27 divisors (see below), whose sum is σ = 622968402693. Its totient is φ = 284453050752.

The previous prime is 428976531341. The next prime is 428976531371. The reversal of 428976531369 is 963135679824.

The square root of 428976531369 is 654963.

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

428976531369 is a `hidden beast` number, since 4 + 2 + 8 + 97 + 6 + 531 + 3 + 6 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 251364857769 + 177611673600 = 501363^2 + 421440^2 .

It is not a de Polignac number, because 428976531369 - 27 = 428976531241 is a prime.

It is a super-2 number, since 2×4289765313692 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (428976530369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 457818669 + ... + 457819605.

Almost surely, 2428976531369 is an apocalyptic number.

428976531369 is the 654963-rd square number.

428976531369 is the 327482-nd centered octagonal number.

It is an amenable number.

428976531369 is a deficient number, since it is larger than the sum of its proper divisors (193991871324).

428976531369 is an frugal number, since it uses more digits than its factorization.

428976531369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2346 (or 1173 counting only the distinct ones).

The product of its digits is 58786560, while the sum is 63.

The spelling of 428976531369 in words is "four hundred twenty-eight billion, nine hundred seventy-six million, five hundred thirty-one thousand, three hundred sixty-nine".

Divisors: 1 3 9 233 699 937 2097 2811 8433 54289 162867 218321 488601 654963 877969 1964889 2633907 7901721 50868793 152606379 204566777 457819137 613700331 1841100993 47664059041 142992177123 428976531369