Search a number
-
+
543305516052 = 2231326954723669
BaseRepresentation
bin1111110011111111000…
…10000100010000010100
31220221100220011212022110
413321333202010100110
532400142203003202
61053331402431020
754152421455235
oct7717742042024
91827326155273
10543305516052
1119a461888692
1289367b02470
133c305c942a0
141c42080508c
15e1ec90c26c
hex7e7f884414

543305516052 has 96 divisors (see below), whose sum is σ = 1372867574400. Its totient is φ = 166237972992.

The previous prime is 543305516041. The next prime is 543305516077. The reversal of 543305516052 is 250615503345.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 543305516052.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22942474 + ... + 22966142.

It is an arithmetic number, because the mean of its divisors is an integer number (14300703900).

Almost surely, 2543305516052 is an apocalyptic number.

543305516052 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 543305516052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686433787200).

543305516052 is an abundant number, since it is smaller than the sum of its proper divisors (829562058348).

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

543305516052 is a wasteful number, since it uses less digits than its factorization.

543305516052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24505 (or 24503 counting only the distinct ones).

The product of its (nonzero) digits is 270000, while the sum is 39.

The spelling of 543305516052 in words is "five hundred forty-three billion, three hundred five million, five hundred sixteen thousand, fifty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 269 538 547 807 1076 1094 1614 1641 2188 3228 3282 3497 6564 6994 7111 10491 13988 14222 20982 21333 23669 28444 41964 42666 47338 71007 85332 94676 142014 147143 284028 294286 307697 441429 588572 615394 882858 923091 1230788 1765716 1846182 1912859 3692364 3825718 5738577 6366961 7651436 11477154 12733922 12946943 19100883 22954308 25467844 25893886 38201766 38840829 51787772 76403532 77681658 82770493 155363316 165540986 168310259 248311479 331081972 336620518 496622958 504930777 673241036 993245916 1009861554 2019723108 3482727667 6965455334 10448183001 13930910668 20896366002 41792732004 45275459671 90550919342 135826379013 181101838684 271652758026 543305516052