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472743308351358 = 2321117944330109493
BaseRepresentation
bin110101101111101010010000…
…0111101101101011101111110
32021222211211002222112100000200
41223133110200331231131332
5443430411243414220413
64353235135553104330
7201401401611555132
oct15337244075553576
92258754088470020
10472743308351358
111276a3347198610
12450309a15580a6
13173a266c552955
1484a4c809833c2
15399c211d43573
hex1adf520f6d77e

472743308351358 has 96 divisors (see below), whose sum is σ = 1126172155904640. Its totient is φ = 142133663555520.

The previous prime is 472743308351339. The next prime is 472743308351401. The reversal of 472743308351358 is 853153803347274.

472743308351358 is a `hidden beast` number, since 4 + 7 + 2 + 7 + 4 + 3 + 30 + 83 + 513 + 5 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 472743308351295 and 472743308351304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 646060 + ... + 30755552.

It is an arithmetic number, because the mean of its divisors is an integer number (11730959957340).

Almost surely, 2472743308351358 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472743308351358, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563086077952320).

472743308351358 is an abundant number, since it is smaller than the sum of its proper divisors (653428847553282).

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

472743308351358 is a wasteful number, since it uses less digits than its factorization.

472743308351358 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30110134 (or 30110131 counting only the distinct ones).

The product of its (nonzero) digits is 203212800, while the sum is 63.

The spelling of 472743308351358 in words is "four hundred seventy-two trillion, seven hundred forty-three billion, three hundred eight million, three hundred fifty-one thousand, three hundred fifty-eight".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 179 198 358 443 537 886 1074 1329 1611 1969 2658 3222 3938 3987 4873 5907 7974 9746 11814 14619 17721 29238 35442 43857 79297 87714 158594 237891 475782 713673 872267 1427346 1744534 2616801 5233602 7850403 15700806 30109493 60218986 90328479 180656958 270985437 331204423 541970874 662408846 993613269 1987226538 2980839807 5389599247 5961679614 10779198494 13338505399 16168797741 26677010798 32337595482 40015516197 48506393223 59285591717 80031032394 97012786446 118571183434 120046548591 146723559389 177856775151 240093097182 293447118778 355713550302 440170678167 533570325453 880341356334 1067140650906 1320512034501 2387592466421 2641024069002 4775184932842 7162777399263 14325554798526 21488332197789 26263517130631 42976664395578 52527034261262 78790551391893 157581102783786 236371654175679 472743308351358