Search a number
-
+
52455004524352 = 2619238599218111
BaseRepresentation
bin10111110110101001000011…
…11010010100111101000000
320212201122112110021211112101
423323110201322110331000
523333410322124234402
6303321255120240144
714022514624523023
oct1373244172247500
9225648473254471
1052455004524352
1115794051611561
125a7216aa70054
1323366411193c1
14cd4b9b4a91ba
1560e71d427b87
hex2fb521e94f40

52455004524352 has 112 divisors (see below), whose sum is σ = 114346524672000. Its totient is φ = 23763925532160.

The previous prime is 52455004524319. The next prime is 52455004524359. The reversal of 52455004524352 is 25342540055425.

52455004524352 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 2×524550045243522 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52455004524359) 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 15 ways as a sum of consecutive naturals, for example, 240387777 + ... + 240605887.

Almost surely, 252455004524352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52455004524352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57173262336000).

52455004524352 is an abundant number, since it is smaller than the sum of its proper divisors (61891520147648).

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

52455004524352 is a wasteful number, since it uses less digits than its factorization.

52455004524352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226764 (or 226754 counting only the distinct ones).

The product of its (nonzero) digits is 4800000, while the sum is 46.

Adding to 52455004524352 its reverse (25342540055425), we get a palindrome (77797544579777).

The spelling of 52455004524352 in words is "fifty-two trillion, four hundred fifty-five billion, four million, five hundred twenty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 19 23 32 38 46 64 76 92 152 184 304 368 437 608 736 874 1216 1472 1748 3496 6992 8599 13984 17198 27968 34396 68792 137584 163381 197777 218111 275168 326762 395554 436222 550336 653524 791108 872444 1307048 1582216 1744888 2614096 3164432 3489776 3757763 4144109 5016553 5228192 6328864 6979552 7515526 8288218 10033106 10456384 12657728 13959104 15031052 16576436 20066212 30062104 33152872 40132424 60124208 66305744 80264848 95314507 120248416 132611488 160529696 190629014 240496832 265222976 321059392 381258028 762516056 1525032112 1875536489 3050064224 3751072978 6100128448 7502145956 15004291912 30008583824 35635193291 43137339247 60017167648 71270386582 86274678494 120034335296 142540773164 172549356988 285081546328 345098713976 570163092656 690197427952 819609445693 1140326185312 1380394855904 1639218891386 2280652370624 2760789711808 3278437782772 6556875565544 13113751131088 26227502262176 52455004524352