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211044343356952 = 23725393710841071
BaseRepresentation
bin101111111111000110010111…
…000111100001111000011000
31000200020122100011010200000121
4233333012113013201320120
5210130222303344410302
62024504233301043024
762311310366024200
oct5777062707417030
91020218304120017
10211044343356952
1161277448a016a6
121b8059836b6474
13909b51c555491
143a1885a539400
15195eb336cae37
hexbff1971e1e18

211044343356952 has 96 divisors (see below), whose sum is σ = 469499291997120. Its totient is φ = 88646301918720.

The previous prime is 211044343356841. The next prime is 211044343356961. The reversal of 211044343356952 is 259653343440112.

It is a self number, because there is not a number n which added to its sum of digits gives 211044343356952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14046577 + ... + 24887647.

It is an arithmetic number, because the mean of its divisors is an integer number (4890617624970).

Almost surely, 2211044343356952 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 211044343356952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234749645998560).

211044343356952 is an abundant number, since it is smaller than the sum of its proper divisors (258454948640168).

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

211044343356952 is a wasteful number, since it uses less digits than its factorization.

211044343356952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10842081 (or 10842070 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 52.

The spelling of 211044343356952 in words is "two hundred eleven trillion, forty-four billion, three hundred forty-three million, three hundred fifty-six thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 49 53 56 98 106 196 212 371 392 424 742 937 1484 1874 2597 2968 3748 5194 6559 7496 10388 13118 20776 26236 45913 49661 52472 91826 99322 183652 198644 347627 367304 397288 695254 1390508 2433389 2781016 4866778 9733556 10841071 19467112 21682142 43364284 75887497 86728568 151774994 303549988 531212479 574576763 607099976 1062424958 1149153526 2124849916 2298307052 4022037341 4249699832 4596614104 8044074682 10158083527 16088149364 20316167054 28154261387 32176298728 40632334108 56308522774 71106584689 81264668216 112617045548 142213169378 225234091096 284426338756 497746092823 538378426931 568852677512 995492185646 1076756853862 1990984371292 2153513707724 3768648988517 3981968742584 4307027415448 7537297977034 15074595954068 26380542919619 30149191908136 52761085839238 105522171678476 211044343356952