Search a number
-
+
52522443405 = 32541103479577
BaseRepresentation
bin110000111010100101…
…001110001010001101
312000120101020120110200
4300322211032022031
51330031221142110
640043430124113
73536361255105
oct607245161215
9160511216420
1052522443405
1120302606123
12a2197b0639
134c505297a3
142783744205
1515760556c0
hexc3a94e28d

52522443405 has 96 divisors (see below), whose sum is σ = 94524917760. Its totient is φ = 26960117760.

The previous prime is 52522443367. The next prime is 52522443427. The reversal of 52522443405 is 50434422525.

52522443405 is a `hidden beast` number, since 5 + 2 + 5 + 2 + 244 + 3 + 405 = 666.

It is not a de Polignac number, because 52522443405 - 211 = 52522441357 is a prime.

It is a super-2 number, since 2×525224434052 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 52522443405.

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 95 ways as a sum of consecutive naturals, for example, 91026477 + ... + 91027053.

It is an arithmetic number, because the mean of its divisors is an integer number (984634560).

Almost surely, 252522443405 is an apocalyptic number.

It is an amenable number.

52522443405 is a deficient number, since it is larger than the sum of its proper divisors (42002474355).

52522443405 is a wasteful number, since it uses less digits than its factorization.

52522443405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 36.

The spelling of 52522443405 in words is "fifty-two billion, five hundred twenty-two million, four hundred forty-three thousand, four hundred five".

Divisors: 1 3 5 9 15 41 45 103 123 205 309 369 479 515 577 615 927 1437 1545 1731 1845 2395 2885 4223 4311 4635 5193 7185 8655 12669 19639 21115 21555 23657 25965 38007 49337 58917 59431 63345 70971 98195 118285 148011 176751 178293 190035 212913 246685 276383 294585 297155 354855 444033 534879 740055 829149 883755 891465 1064565 1381915 2022817 2220165 2436671 2487447 2674395 4145745 6068451 7310013 10114085 11331703 12183355 12437235 18205353 21930039 28467449 30342255 33995109 36550065 56658515 85402347 91026765 101985327 109650195 142337245 169975545 256207041 427011735 509926635 1167165409 1281035205 3501496227 5835827045 10504488681 17507481135 52522443405