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52829077752 = 233211232900147
BaseRepresentation
bin110001001100110110…
…111100000011111000
312001100202020012201100
4301030312330003320
51331143220442002
640134102251400
73550103515563
oct611466740370
9161322205640
1052829077752
112044a701040
12a2a4426b60
134c9bc0b229
1427b23634da
151592e2511c
hexc4cdbc0f8

52829077752 has 96 divisors (see below), whose sum is σ = 162872311680. Its totient is φ = 15312770880.

The previous prime is 52829077751. The next prime is 52829077771. The reversal of 52829077752 is 25777092825.

52829077752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×528290777522 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52829077751) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1431858 + ... + 1468289.

It is an arithmetic number, because the mean of its divisors is an integer number (1696586580).

Almost surely, 252829077752 is an apocalyptic number.

It is an amenable number.

52829077752 is an abundant number, since it is smaller than the sum of its proper divisors (110043233928).

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

52829077752 is a wasteful number, since it uses less digits than its factorization.

52829077752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2900193 (or 2900186 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 54.

The spelling of 52829077752 in words is "fifty-two billion, eight hundred twenty-nine million, seventy-seven thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 23 24 33 36 44 46 66 69 72 88 92 99 132 138 184 198 207 253 264 276 396 414 506 552 759 792 828 1012 1518 1656 2024 2277 3036 4554 6072 9108 18216 2900147 5800294 8700441 11600588 17400882 23201176 26101323 31901617 34801764 52202646 63803234 66703381 69603528 95704851 104405292 127606468 133406762 191409702 200110143 208810584 255212936 266813524 287114553 382819404 400220286 533627048 574229106 600330429 733737191 765638808 800440572 1148458212 1200660858 1467474382 1600881144 2201211573 2296916424 2401321716 2934948764 4402423146 4802643432 5869897528 6603634719 8804846292 13207269438 17609692584 26414538876 52829077752