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5420461235574 = 237113731328269
BaseRepresentation
bin100111011100000110010…
…1010101001110101110110
3201012012011021002221220210
41032320030222221311312
51202302101034014244
615310043040010250
71066421040203160
oct116701452516566
921165137087823
105420461235574
1117aa894069000
12736631600986
133041bb80bc98
1414a4cd1b5930
1595eea5e34b9
hex4ee0caa9d76

5420461235574 has 128 divisors (see below), whose sum is σ = 13814348037120. Its totient is φ = 1388624497920.

The previous prime is 5420461235557. The next prime is 5420461235599. The reversal of 5420461235574 is 4755321640245.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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, 3416712 + ... + 4744980.

It is an arithmetic number, because the mean of its divisors is an integer number (107924594040).

Almost surely, 25420461235574 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5420461235574, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6907174018560).

5420461235574 is an abundant number, since it is smaller than the sum of its proper divisors (8393886801546).

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

5420461235574 is a wasteful number, since it uses less digits than its factorization.

5420461235574 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328387 (or 1328365 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 48.

The spelling of 5420461235574 in words is "five trillion, four hundred twenty billion, four hundred sixty-one million, two hundred thirty-five thousand, five hundred seventy-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 73 77 121 146 154 219 231 242 363 438 462 511 726 803 847 1022 1331 1533 1606 1694 2409 2541 2662 3066 3993 4818 5082 5621 7986 8833 9317 11242 16863 17666 18634 26499 27951 33726 52998 55902 61831 97163 123662 185493 194326 291489 370986 582978 680141 1328269 1360282 2040423 2656538 3984807 4080846 7969614 9297883 14610959 18595766 27893649 29221918 43832877 55787298 87665754 96963637 102276713 160720549 193927274 204553426 290890911 306830139 321441098 482161647 581781822 613660278 678745459 964323294 1066600007 1125043843 1357490918 1767926039 2036236377 2133200014 2250087686 3199800021 3375131529 3535852078 4072472754 5303778117 6399600042 6750263058 7466200049 10607556234 11732600077 12375482273 14932400098 22398600147 23465200154 24750964546 35197800231 37126446819 44797200294 70395600462 74252893638 82128200539 129058600847 164256401078 246384601617 258117201694 387175802541 492769203234 774351605082 903410205929 1806820411858 2710230617787 5420461235574