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52979727060 = 223251329780721
BaseRepresentation
bin110001010101110101…
…100111101011010100
312001202020200222201100
4301111311213223110
51332000302231220
640201043230100
73553613151441
oct612565475324
9161666628640
1052979727060
11205177470a7
12a326978330
134cc41a6830
1427c837a9c8
1515a1281d90
hexc55d67ad4

52979727060 has 144 divisors (see below), whose sum is σ = 179035169040. Its totient is φ = 12591452160.

The previous prime is 52979727037. The next prime is 52979727067. The reversal of 52979727060 is 6072797925.

52979727060 is a `hidden beast` number, since 529 + 7 + 97 + 27 + 0 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 276423876 + 52703303184 = 16626^2 + 229572^2 .

It is a junction number, because it is equal to n+sod(n) for n = 52979726988 and 52979727006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52979727067) 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, 322501 + ... + 458220.

It is an arithmetic number, because the mean of its divisors is an integer number (1243299785).

Almost surely, 252979727060 is an apocalyptic number.

It is an amenable number.

52979727060 is an abundant number, since it is smaller than the sum of its proper divisors (126055441980).

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

52979727060 is a wasteful number, since it uses less digits than its factorization.

52979727060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780778 (or 780773 counting only the distinct ones).

The product of its (nonzero) digits is 3333960, while the sum is 54.

The spelling of 52979727060 in words is "fifty-two billion, nine hundred seventy-nine million, seven hundred twenty-seven thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 29 30 36 39 45 52 58 60 65 78 87 90 116 117 130 145 156 174 180 195 234 260 261 290 348 377 390 435 468 522 580 585 754 780 870 1044 1131 1170 1305 1508 1740 1885 2262 2340 2610 3393 3770 4524 5220 5655 6786 7540 11310 13572 16965 22620 33930 67860 780721 1561442 2342163 3122884 3903605 4684326 7026489 7807210 9368652 10149373 11710815 14052978 15614420 20298746 22640909 23421630 28105956 30448119 35132445 40597492 45281818 46843260 50746865 60896238 67922727 70264890 90563636 91344357 101493730 113204545 121792476 135845454 140529780 152240595 182688714 202987460 203768181 226409090 271690908 294331817 304481190 339613635 365377428 407536362 452818180 456721785 588663634 608962380 679227270 815072724 882995451 913443570 1018840905 1177327268 1358454540 1471659085 1765990902 1826887140 2037681810 2648986353 2943318170 3531981804 4075363620 4414977255 5297972706 5886636340 8829954510 10595945412 13244931765 17659909020 26489863530 52979727060