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296032839921 = 327213219932
BaseRepresentation
bin1000100111011001110…
…11101010100011110001
31001022010001000102012100
410103230323222203301
514322233401334141
6343555015051013
730246653423100
oct4235473524361
91038101012170
10296032839921
11104601903205
1249458970a69
1321bb9c67a00
14104842da037
157a792740b6
hex44eceea8f1

296032839921 has 81 divisors (see below), whose sum is σ = 538892152929. Its totient is φ = 156070841472.

The previous prime is 296032839829. The next prime is 296032839941. The reversal of 296032839921 is 129938230692.

The square root of 296032839921 is 544089.

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

296032839921 is a `hidden beast` number, since 2 + 9 + 603 + 2 + 8 + 3 + 9 + 9 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6567319521 + 289465520400 = 81039^2 + 538020^2 .

It is not a de Polignac number, because 296032839921 - 223 = 296024451313 is a prime.

It is a super-2 number, since 2×2960328399212 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (296032839941) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 148535301 + ... + 148537293.

Almost surely, 2296032839921 is an apocalyptic number.

296032839921 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

296032839921 is the 544089-th square number.

296032839921 is the 272045-th centered octagonal number.

It is an amenable number.

296032839921 is a deficient number, since it is larger than the sum of its proper divisors (242859313008).

296032839921 is an equidigital number, since it uses as much as digits as its factorization.

296032839921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4032 (or 2016 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 296032839921 in words is "two hundred ninety-six billion, thirty-two million, eight hundred thirty-nine thousand, nine hundred twenty-one".

Divisors: 1 3 7 9 13 21 39 49 63 91 117 147 169 273 441 507 637 819 1183 1521 1911 1993 3549 5733 5979 8281 10647 13951 17937 24843 25909 41853 74529 77727 97657 125559 181363 233181 292971 336817 544089 878913 1010451 1269541 1632267 2357719 3031353 3808623 3972049 7073157 11425869 11916147 16504033 21219471 27804343 35748441 49512099 51636637 83413029 148536297 154909911 194630401 250239087 361456459 464729733 583891203 671276281 1084369377 1751673609 2013828843 2530195213 3253108131 4698933967 6041486529 7590585639 14096801901 22771756917 32892537769 42290405703 98677613307 296032839921