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420570422046 = 233531131737517
BaseRepresentation
bin1100001111010111111…
…00110101101100011110
31111012120021110002012000
412013223330311230132
523342312012001141
6521112443423130
742246061413645
oct6075374655436
91435507402160
10420570422046
111523aa0479a5
1269614224aa6
13308762569c8
14164da13235c
15ae1778d5b6
hex61ebf35b1e

420570422046 has 128 divisors (see below), whose sum is σ = 966343271040. Its totient is φ = 135521777664.

The previous prime is 420570422021. The next prime is 420570422057. The reversal of 420570422046 is 640224075024.

420570422046 is a `hidden beast` number, since 4 + 2 + 0 + 570 + 42 + 2 + 0 + 46 = 666.

It is a super-2 number, since 2×4205704220462 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 420570422046.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55945480 + ... + 55952996.

It is an arithmetic number, because the mean of its divisors is an integer number (7549556805).

Almost surely, 2420570422046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420570422046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483171635520).

420570422046 is an abundant number, since it is smaller than the sum of its proper divisors (545772848994).

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

420570422046 is a wasteful number, since it uses less digits than its factorization.

420570422046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7867 (or 7861 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The spelling of 420570422046 in words is "four hundred twenty billion, five hundred seventy million, four hundred twenty-two thousand, forty-six".

Divisors: 1 2 3 6 9 18 27 53 54 106 113 159 173 226 318 339 346 477 519 678 954 1017 1038 1431 1557 2034 2862 3051 3114 4671 5989 6102 7517 9169 9342 11978 15034 17967 18338 19549 22551 27507 35934 39098 45102 53901 55014 58647 67653 82521 107802 117294 135306 161703 165042 175941 202959 247563 323406 351882 398401 405918 495126 527823 796802 849421 1036097 1055646 1195203 1300441 1698842 2072194 2390406 2548263 2600882 3108291 3585609 3901323 5096526 6216582 7171218 7644789 7802646 9324873 10756827 11703969 15289578 18649746 21513654 22934367 23407938 27974619 35111907 45019313 45868734 55949238 68923373 70223814 90038626 135057939 137846746 146949833 206770119 270115878 293899666 405173817 413540238 440849499 620310357 810347634 881698998 1215521451 1240620714 1322548497 1860931071 2431042902 2645096994 3721862142 3967645491 7788341149 7935290982 15576682298 23365023447 46730046894 70095070341 140190140682 210285211023 420570422046