Search a number
-
+
450615046553334 = 23313372468883693
BaseRepresentation
bin110011001110101001111110…
…1110001111011111011110110
32012002111101012101000112122000
41212131103331301323323312
5433030334103404201314
64234213410010320130
7163625601632662065
oct14635237561737366
92162441171015560
10450615046553334
1112064184a2a6523
124265826b429046
1316458a7cc96910
147d3bc555981dc
1537167e8a69209
hex199d4fdc7bef6

450615046553334 has 96 divisors (see below), whose sum is σ = 1108328520529440. Its totient is φ = 134903464792704.

The previous prime is 450615046553333. The next prime is 450615046553363. The reversal of 450615046553334 is 433355640516054.

450615046553334 is a `hidden beast` number, since 4 + 5 + 0 + 6 + 1 + 50 + 4 + 6 + 553 + 3 + 34 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450615046553333) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 233480809 + ... + 235402884.

It is an arithmetic number, because the mean of its divisors is an integer number (11545088755515).

Almost surely, 2450615046553334 is an apocalyptic number.

450615046553334 is an abundant number, since it is smaller than the sum of its proper divisors (657713473976106).

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

450615046553334 is a wasteful number, since it uses less digits than its factorization.

450615046553334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468883791 (or 468883748 counting only the distinct ones).

The product of its (nonzero) digits is 38880000, while the sum is 54.

The spelling of 450615046553334 in words is "four hundred fifty trillion, six hundred fifteen billion, forty-six million, five hundred fifty-three thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 37 39 54 74 78 111 117 222 234 333 351 481 666 702 962 999 1369 1443 1998 2738 2886 4107 4329 8214 8658 12321 12987 17797 24642 25974 35594 36963 53391 73926 106782 160173 320346 480519 961038 468883693 937767386 1406651079 2813302158 4219953237 6095488009 8439906474 12190976018 12659859711 17348696641 18286464027 25319719422 34697393282 36572928054 52046089923 54859392081 104092179846 109718784162 156138269769 164578176243 225533056333 312276539538 329156352486 451066112666 468414809307 641901775717 676599168999 936829618614 1283803551434 1353198337998 1925705327151 2029797506997 3851410654302 4059595013994 5777115981453 6089392520991 8344723084321 11554231962906 12178785041982 16689446168642 17331347944359 25034169252963 34662695888718 50068338505926 75102507758889 150205015517778 225307523276667 450615046553334