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211055035350552 = 233311017433780181
BaseRepresentation
bin101111111111010000010100…
…011010001111111000011000
31000200021122221022000012220120
4233333100110122033320120
5210130411203022204202
62024513202243353240
762312136345333201
oct5777202432177030
91020248838005816
10211055035350552
1161280a35297748
121b807a68382820
13909c53470aa03
143a191925505a8
15196005c1c90bc
hexbff41468fe18

211055035350552 has 128 divisors (see below), whose sum is σ = 550791267102720. Its totient is φ = 67317445440000.

The previous prime is 211055035350503. The next prime is 211055035350557. The reversal of 211055035350552 is 255053530550112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211055035350557) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53941902 + ... + 57722082.

It is an arithmetic number, because the mean of its divisors is an integer number (4303056774240).

Almost surely, 2211055035350552 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 211055035350552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275395633551360).

211055035350552 is an abundant number, since it is smaller than the sum of its proper divisors (339736231752168).

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

211055035350552 is a wasteful number, since it uses less digits than its factorization.

211055035350552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3781065 (or 3781061 counting only the distinct ones).

The product of its (nonzero) digits is 562500, while the sum is 42.

The spelling of 211055035350552 in words is "two hundred eleven trillion, fifty-five billion, thirty-five million, three hundred fifty thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 101 124 186 202 248 303 372 404 606 743 744 808 1212 1486 2229 2424 2972 3131 4458 5944 6262 8916 9393 12524 17832 18786 23033 25048 37572 46066 69099 75043 75144 92132 138198 150086 184264 225129 276396 300172 450258 552792 600344 900516 1801032 2326333 3780181 4652666 6978999 7560362 9305332 11340543 13957998 15120724 18610664 22681086 27915996 30241448 45362172 55831992 90724344 117185611 234371222 351556833 381798281 468742444 703113666 763596562 937484888 1145394843 1406227332 1527193124 2290789686 2808674483 2812454664 3054386248 4581579372 5617348966 8426023449 9163158744 11234697932 11835746711 16852046898 22469395864 23671493422 33704093796 35507240133 47342986844 67408187592 71014480266 87068908973 94685973688 142028960532 174137817946 261206726919 283676122783 284057921064 348275635892 522413453838 567352245566 696551271784 851028368349 1044826907676 1134704491132 1702056736698 2089653815352 2269408982264 3404113473396 6808226946792 8793959806273 17587919612546 26381879418819 35175839225092 52763758837638 70351678450184 105527517675276 211055035350552