Search a number
-
+
5201552808543 = 37133715133110303
BaseRepresentation
bin100101110110001010010…
…1101010001101001011111
3200102021010011021122210010
41023230110231101221133
51140210240004333133
615021321012414303
71044541220236560
oct113542455215137
920367104248703
105201552808543
111725a69a57803
12700119617393
132b9673005260
1413da83b96167
1590487172263
hex4bb14b51a5f

5201552808543 has 128 divisors (see below), whose sum is σ = 8852157497344. Its totient is φ = 2643575616000.

The previous prime is 5201552808541. The next prime is 5201552808563. The reversal of 5201552808543 is 3458082551025.

It is a happy number.

It is not a de Polignac number, because 5201552808543 - 21 = 5201552808541 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5201552808492 and 5201552808501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5201552808541) 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 127 ways as a sum of consecutive naturals, for example, 504852930 + ... + 504863232.

It is an arithmetic number, because the mean of its divisors is an integer number (69157480448).

Almost surely, 25201552808543 is an apocalyptic number.

5201552808543 is a deficient number, since it is larger than the sum of its proper divisors (3650604688801).

5201552808543 is a wasteful number, since it uses less digits than its factorization.

5201552808543 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10845.

The product of its (nonzero) digits is 1920000, while the sum is 48.

The spelling of 5201552808543 in words is "five trillion, two hundred one billion, five hundred fifty-two million, eight hundred eight thousand, five hundred forty-three".

Divisors: 1 3 7 13 21 37 39 91 111 151 259 273 331 453 481 777 993 1057 1443 1963 2317 3171 3367 4303 5587 5889 6951 10101 10303 12247 12909 13741 16761 30121 30909 36741 39109 41223 49981 72121 72631 85729 90363 117327 133939 149943 159211 216363 217893 257187 349867 381211 401817 477633 508417 649753 937573 1049601 1114477 1143633 1525251 1555753 1849297 1949259 2668477 2812719 3343431 3410293 4548271 4667259 4955743 5547891 8005431 10230879 10890271 12945079 13644813 14867229 20224789 23872051 24040861 32670813 34690201 38835237 44333809 57562861 60674367 71616153 72122583 104070603 126180841 133001427 141573523 168286027 172688583 310336663 378542523 402940027 424720569 504858081 514954243 748317193 883265887 931009989 1208820081 1544862729 1640350933 2244951579 2649797661 3604679701 4921052799 5238220351 6694405159 10814039103 11482456531 15714661053 19053306991 20083215477 34447369593 46860836113 57159920973 133373148937 140582508339 247692990883 400119446811 743078972649 1733850936181 5201552808543