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211205067632 = 2413283993097
BaseRepresentation
bin1100010010110011001…
…1011001001101110000
3202012011020121002122022
43010230303121031300
511430021444131012
6241005401331012
721154600311446
oct3045463311560
9665136532568
10211205067632
1181631833379
1234b24196a68
1316bbb886600
14a3182d2b96
15576201e472
hex312ccd9370

211205067632 has 60 divisors (see below), whose sum is σ = 443641761360. Its totient is φ = 97362031104.

The previous prime is 211205067599. The next prime is 211205067677. The reversal of 211205067632 is 236760502112.

It is a junction number, because it is equal to n+sod(n) for n = 211205067592 and 211205067601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2222108 + ... + 2315204.

It is an arithmetic number, because the mean of its divisors is an integer number (7394029356).

Almost surely, 2211205067632 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 211205067632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221820880680).

211205067632 is an abundant number, since it is smaller than the sum of its proper divisors (232436693728).

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

211205067632 is a wasteful number, since it uses less digits than its factorization.

211205067632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93970 (or 93951 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

Adding to 211205067632 its reverse (236760502112), we get a palindrome (447965569744).

The spelling of 211205067632 in words is "two hundred eleven billion, two hundred five million, sixty-seven thousand, six hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 839 1352 1678 2704 3356 6712 10907 13424 21814 43628 87256 93097 141791 174512 186194 283582 372388 567164 744776 1134328 1210261 1489552 2268656 2420522 4841044 9682088 15733393 19364176 31466786 62933572 78108383 125867144 156216766 251734288 312433532 624867064 1015408979 1249734128 2030817958 4061635916 8123271832 13200316727 16246543664 26400633454 52801266908 105602533816 211205067632