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212533045543504 = 24743671805936473
BaseRepresentation
bin110000010100110000110100…
…101011101100001001010000
31000212111221221100221102021001
4300110300310223230021100
5210324120134124343004
62032004155551311344
762524001665565140
oct6024606453541120
91025457840842231
10212533045543504
11617a0838536584
121ba063b2b1b554
139178a1b13096a
143a6a923530920
151988713caa1a4
hexc14c34aec250

212533045543504 has 160 divisors (see below), whose sum is σ = 488781106007040. Its totient is φ = 87632195245056.

The previous prime is 212533045543501. The next prime is 212533045543523. The reversal of 212533045543504 is 405345540335212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212533045543501) by changing a digit.

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, 5827115412 + ... + 5827151884.

It is an arithmetic number, because the mean of its divisors is an integer number (3054881912544).

Almost surely, 2212533045543504 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 212533045543504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244390553003520).

212533045543504 is an abundant number, since it is smaller than the sum of its proper divisors (276248060463536).

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

212533045543504 is a wasteful number, since it uses less digits than its factorization.

212533045543504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54657 (or 54651 counting only the distinct ones).

The product of its (nonzero) digits is 4320000, while the sum is 46.

Adding to 212533045543504 its reverse (405345540335212), we get a palindrome (617878585878716).

The spelling of 212533045543504 in words is "two hundred twelve trillion, five hundred thirty-three billion, forty-five million, five hundred forty-three thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 28 43 56 67 86 112 134 172 268 301 344 469 536 602 688 938 1072 1204 1876 2408 2881 3752 4816 5762 7504 11524 18059 20167 23048 36118 36473 40334 46096 72236 72946 80668 126413 144472 145892 161336 252826 255311 288944 291784 322672 505652 510622 583568 776537 1011304 1021244 1209953 1553074 1568339 2022608 2042488 2419906 2443691 3106148 3136678 4084976 4839812 4887382 5435759 6212296 6273356 8469671 9679624 9774764 10871518 10978373 12424592 12546712 16939342 17105837 19359248 19549528 21743036 21956746 25093424 33878684 34211674 39099056 43486072 43913492 52027979 67757368 68423348 86972144 87826984 104055958 105078713 135514736 136846696 175653968 208111916 210157426 273693392 364195853 416223832 420314852 658665907 728391706 735550991 832447664 840629704 1317331814 1456783412 1471101982 1681259408 2634663628 2913566824 2942203964 4610661349 5269327256 5827133648 5884407928 9221322698 10538654512 11768815856 18442645396 28322634001 36885290792 44130615769 56645268002 73770581584 88261231538 113290536004 176522463076 198258438007 226581072008 308914310383 353044926152 396516876014 453162144016 617828620766 706089852304 793033752028 1235657241532 1586067504056 1897616478067 2471314483064 3172135008112 3795232956134 4942628966128 7590465912268 13283315346469 15180931824536 26566630692938 30361863649072 53133261385876 106266522771752 212533045543504