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4122454050 = 23252111364063
BaseRepresentation
bin1111010110110111…
…1010100000100010
3101122022010100211100
43311231322200202
531420322012200
61521022255230
7204105165321
oct36555724042
911568110740
104122454050
111826021820
12970727516
135090c7630
142b170c0b8
15191db2d00
hexf5b7a822

4122454050 has 144 divisors (see below), whose sum is σ = 13012167168. Its totient is φ = 922492800.

The previous prime is 4122454031. The next prime is 4122454051. The reversal of 4122454050 is 504542214.

4122454050 is a `hidden beast` number, since 4 + 12 + 245 + 405 + 0 = 666.

It is a super-2 number, since 2×41224540502 = 33989254788722805000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4122454051) 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 71 ways as a sum of consecutive naturals, for example, 32319 + ... + 96381.

It is an arithmetic number, because the mean of its divisors is an integer number (90362272).

Almost surely, 24122454050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4122454050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6506083584).

4122454050 is an abundant number, since it is smaller than the sum of its proper divisors (8889713118).

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

4122454050 is a wasteful number, since it uses less digits than its factorization.

4122454050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64105 (or 64097 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 4122454050 is about 64206.3396402567. The cubic root of 4122454050 is about 1603.4371487285.

Adding to 4122454050 its reverse (504542214), we get a palindrome (4626996264).

The spelling of 4122454050 in words is "four billion, one hundred twenty-two million, four hundred fifty-four thousand, fifty".

Divisors: 1 2 3 5 6 9 10 11 13 15 18 22 25 26 30 33 39 45 50 55 65 66 75 78 90 99 110 117 130 143 150 165 195 198 225 234 275 286 325 330 390 429 450 495 550 585 650 715 825 858 975 990 1170 1287 1430 1650 1950 2145 2475 2574 2925 3575 4290 4950 5850 6435 7150 10725 12870 21450 32175 64063 64350 128126 192189 320315 384378 576567 640630 704693 832819 960945 1153134 1409386 1601575 1665638 1921890 2114079 2498457 2882835 3203150 3523465 4164095 4228158 4804725 4996914 5765670 6342237 7046930 7495371 8328190 9161009 9609450 10570395 12492285 12684474 14414175 14990742 17617325 18322018 20820475 21140790 24984570 27483027 28828350 31711185 35234650 37476855 41640950 45805045 52851975 54966054 62461425 63422370 74953710 82449081 91610090 105703950 124922850 137415135 158555925 164898162 187384275 229025225 274830270 317111850 374768550 412245405 458050450 687075675 824490810 1374151350 2061227025 4122454050