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433122320020 = 225131924614557
BaseRepresentation
bin1100100110110000001…
…10100001111010010100
31112101222001001120020011
412103120012201322110
524044013303220040
6530550150250004
743202113655455
oct6233006417224
91471861046204
10433122320020
111577602926a5
126bb37956904
1331ac6844880
1416d6b17512c
15b3ee6c93ea
hex64d81a1e94

433122320020 has 72 divisors (see below), whose sum is σ = 1033790199624. Its totient is φ = 151505102592.

The previous prime is 433122320011. The next prime is 433122320021. The reversal of 433122320020 is 20023221334.

It can be written as a sum of positive squares in 4 ways, for example, as 20994271236 + 412128048784 = 144894^2 + 641972^2 .

It is a junction number, because it is equal to n+sod(n) for n = 433122319973 and 433122320000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (433122320021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2213419 + ... + 2401138.

It is an arithmetic number, because the mean of its divisors is an integer number (14358197217).

Almost surely, 2433122320020 is an apocalyptic number.

It is an amenable number.

433122320020 is an abundant number, since it is smaller than the sum of its proper divisors (600667879604).

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

433122320020 is a wasteful number, since it uses less digits than its factorization.

433122320020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4614617 (or 4614596 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 433122320020 its reverse (20023221334), we get a palindrome (453145541354).

The spelling of 433122320020 in words is "four hundred thirty-three billion, one hundred twenty-two million, three hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 95 130 190 247 260 361 380 494 722 988 1235 1444 1805 2470 3610 4693 4940 7220 9386 18772 23465 46930 93860 4614557 9229114 18458228 23072785 46145570 59989241 87676583 92291140 119978482 175353166 239956964 299946205 350706332 438382915 599892410 876765830 1139795579 1199784820 1665855077 1753531660 2279591158 3331710154 4559182316 5698977895 6663420308 8329275385 11397955790 16658550770 21656116001 22795911580 33317101540 43312232002 86624464004 108280580005 216561160010 433122320020