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450424335006 = 233171136616569
BaseRepresentation
bin1101000110111110110…
…00011110101010011110
31121001121211211222211000
412203133120132222132
524334432112210011
6542531100411130
744353635451032
oct6433730365236
91531554758730
10450424335006
11164029881638
1273366246aa6
133362328cc69
1417b2cdd01c2
15bab365c356
hex68df61ea9e

450424335006 has 128 divisors (see below), whose sum is σ = 1070981481600. Its totient is φ = 139825889280.

The previous prime is 450424335001. The next prime is 450424335059. The reversal of 450424335006 is 600533424054.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450424335001) 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 63 ways as a sum of consecutive naturals, for example, 68564890 + ... + 68571458.

It is an arithmetic number, because the mean of its divisors is an integer number (8367042825).

Almost surely, 2450424335006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450424335006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535490740800).

450424335006 is an abundant number, since it is smaller than the sum of its proper divisors (620557146594).

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

450424335006 is a wasteful number, since it uses less digits than its factorization.

450424335006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7371 (or 7365 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The spelling of 450424335006 in words is "four hundred fifty billion, four hundred twenty-four million, three hundred thirty-five thousand, six".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 113 153 226 306 339 459 661 678 918 1017 1322 1921 1983 2034 3051 3842 3966 5763 5949 6102 6569 11237 11526 11898 13138 17289 17847 19707 22474 33711 34578 35694 39414 51867 59121 67422 74693 101133 103734 111673 118242 149386 177363 202266 223346 224079 303399 335019 354726 448158 606798 670038 672237 742297 1005057 1269781 1344474 1484594 2010114 2016711 2226891 2539562 3015171 3809343 4033422 4342109 4453782 6030342 6680673 7618686 8684218 11428029 12619049 13026327 13361346 20042019 22856058 25238098 26052654 34284087 37857147 39078981 40084038 68568174 73815853 75714294 78157962 113571441 117236943 147631706 221447559 227142882 234473886 340714323 442895118 490658317 664342677 681428646 981316634 1328685354 1471974951 1993028031 2943949902 3986056062 4415924853 8341191389 8831849706 13247774559 16682382778 25023574167 26495549118 50047148334 75070722501 150141445002 225212167503 450424335006