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5945805570852 = 22327193061405689
BaseRepresentation
bin101011010000101110110…
…1000010000001100100100
3210001102011102011022011200
41112201131220100030210
51234404002211231402
620351244304202500
71152366414316050
oct126413550201444
923042142138150
105945805570852
111992669268734
12800406309430
133418c1614c44
14167ac83b6c60
15a49e626421c
hex5685da10324

5945805570852 has 144 divisors (see below), whose sum is σ = 18086763676800. Its totient is φ = 1608861242880.

The previous prime is 5945805570827. The next prime is 5945805570877. The reversal of 5945805570852 is 2580755085495.

5945805570852 is a `hidden beast` number, since 5 + 9 + 4 + 5 + 8 + 0 + 5 + 570 + 8 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (5945805570827) and next prime (5945805570877).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 5945805570852.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 14453224 + ... + 14858912.

Almost surely, 25945805570852 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5945805570852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9043381838400).

5945805570852 is an abundant number, since it is smaller than the sum of its proper divisors (12140958105948).

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

5945805570852 is a wasteful number, since it uses less digits than its factorization.

5945805570852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408786 (or 408781 counting only the distinct ones).

The product of its (nonzero) digits is 100800000, while the sum is 63.

The spelling of 5945805570852 in words is "five trillion, nine hundred forty-five billion, eight hundred five million, five hundred seventy thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 228 252 266 342 399 532 684 798 1197 1596 2394 3061 4788 6122 9183 12244 18366 21427 27549 36732 42854 55098 58159 64281 85708 110196 116318 128562 174477 192843 232636 257124 348954 385686 405689 407113 523431 697908 771372 811378 814226 1046862 1217067 1221339 1622756 1628452 2093724 2434134 2442678 2839823 3651201 3664017 4868268 4885356 5679646 7302402 7328034 7708091 8519469 11359292 14604804 14656068 15416182 17038938 23124273 25558407 30832364 34077876 46248546 51116814 53956637 69372819 92497092 102233628 107913274 138745638 161869911 215826548 277491276 323739822 485609733 647479644 971219466 1241814029 1942438932 2483628058 3725442087 4967256116 7450884174 8692698203 11176326261 14901768348 17385396406 22352652522 23594466551 26078094609 34770792812 44705305044 47188933102 52156189218 70783399653 78234283827 94377866204 104312378436 141566799306 156468567654 165161265857 212350198959 283133598612 312937135308 330322531714 424700397918 495483797571 660645063428 849400795836 990967595142 1486451392713 1981935190284 2972902785426 5945805570852