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296392480898809 = 1722924727432
BaseRepresentation
bin100001101100100010100000…
…0100010011011111011111001
31102212102211210121022100011111
41003121011000202123323321
5302322043300102230214
62530212454230000321
7116300435660165101
oct10331050042337371
91385384717270144
10296392480898809
1186492388593239
12292aaa221a60a1
13c94c8ca22c419
145329688c14201
15243ecae0e55c4
hex10d914089bef9

296392480898809 has 81 divisors (see below), whose sum is σ = 333618883425997. Its totient is φ = 263253007806208.

The previous prime is 296392480898803. The next prime is 296392480898849. The reversal of 296392480898809 is 908898084293692.

It is a happy number.

The square root of 296392480898809 is 17216053.

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

It can be written as a sum of positive squares in 4 ways, for example, as 29297916690025 + 267094564208784 = 5412755^2 + 16343028^2 .

It is not a de Polignac number, because 296392480898809 - 243 = 287596387876601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (296392480898803) 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 80 ways as a sum of consecutive naturals, for example, 398913163692 + ... + 398913164434.

Almost surely, 2296392480898809 is an apocalyptic number.

296392480898809 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

296392480898809 is the 17216053-rd square number.

296392480898809 is the 8608027-th centered octagonal number.

It is an amenable number.

296392480898809 is a deficient number, since it is larger than the sum of its proper divisors (37226402527188).

296392480898809 is an frugal number, since it uses more digits than its factorization.

296392480898809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 7739670528, while the sum is 85.

The spelling of 296392480898809 in words is "two hundred ninety-six trillion, three hundred ninety-two billion, four hundred eighty million, eight hundred ninety-eight thousand, eight hundred nine".

Divisors: 1 17 29 47 289 493 743 799 841 1363 2209 8381 12631 13583 14297 21547 23171 34921 37553 39527 64061 214727 243049 366299 393907 552049 593657 624863 638401 671959 1012709 1089037 1641287 1857769 6227083 9384833 10092169 10622671 11423303 16009421 17216053 18513629 25946303 27901879 29368561 31582073 47597323 159542161 180585407 272160157 292672901 441087151 464273209 474331943 499265537 536895241 752442787 809154491 1219476241 1380322367 4626722669 7498481567 7892644553 8487514129 12791527379 13755626347 20731096097 21820840823 23465480239 35364810989 134174957401 217455965443 352428633649 370954293991 398913164063 601201786813 1025579518681 6306222997847 10220430375821 17434851817577 296392480898809