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52731152334 = 233733191837
BaseRepresentation
bin110001000111000001…
…011000011111001110
312001002220222002022000
4301013001120133032
51330443133333314
640120243333130
73544504254000
oct610701303716
9161086862260
1052731152334
11203aa3a7243
12a2776811a6
134c84842ab3
1427a3352370
151589530209
hexc470587ce

52731152334 has 128 divisors (see below), whose sum is σ = 141063168000. Its totient is φ = 14579883360.

The previous prime is 52731152329. The next prime is 52731152363. The reversal of 52731152334 is 43325113725.

52731152334 is a `hidden beast` number, since 5 + 2 + 7 + 311 + 5 + 2 + 334 = 666.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 528264 + ... + 620100.

It is an arithmetic number, because the mean of its divisors is an integer number (1102056000).

Almost surely, 252731152334 is an apocalyptic number.

52731152334 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 52731152334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70531584000).

52731152334 is an abundant number, since it is smaller than the sum of its proper divisors (88332015666).

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

52731152334 is a wasteful number, since it uses less digits than its factorization.

52731152334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91900 (or 91880 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The spelling of 52731152334 in words is "fifty-two billion, seven hundred thirty-one million, one hundred fifty-two thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 49 54 62 63 93 98 126 147 186 189 217 279 294 343 378 434 441 558 651 686 837 882 1029 1302 1323 1519 1674 1953 2058 2646 3038 3087 3906 4557 5859 6174 9114 9261 10633 11718 13671 18522 21266 27342 31899 41013 63798 82026 91837 95697 183674 191394 275511 287091 551022 574182 642859 826533 1285718 1653066 1928577 2479599 2846947 3857154 4500013 4959198 5693894 5785731 8540841 9000026 11571462 13500039 17081682 17357193 19928629 25622523 27000078 31500091 34714386 39857258 40500117 51245046 59785887 63000182 76867569 81000234 94500273 119571774 121500351 139500403 153735138 179357661 189000546 243000702 279000806 283500819 358715322 418501209 538072983 567001638 837002418 850502457 976502821 1076145966 1255503627 1701004914 1953005642 2511007254 2929508463 3766510881 5859016926 7533021762 8788525389 17577050778 26365576167 52731152334