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212351011204544 = 26432113557102811
BaseRepresentation
bin110000010010000111010010…
…100101110010110111000000
31000211212120002002012212120222
4300102013102211302313000
5210313124332332021134
62031344412515522212
762504566005333512
oct6022072245626700
91024776062185528
10212351011204544
1161730615933433
121b99706bbb9368
1391647cabab164
143a61bb549bbb2
151983b0cba9a2e
hexc121d2972dc0

212351011204544 has 112 divisors (see below), whose sum is σ = 433353201806976. Its totient is φ = 103184787686400.

The previous prime is 212351011204499. The next prime is 212351011204567. The reversal of 212351011204544 is 445402110153212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2065398899 + ... + 2065501709.

Almost surely, 2212351011204544 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 212351011204544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216676600903488).

212351011204544 is an abundant number, since it is smaller than the sum of its proper divisors (221002190602432).

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

212351011204544 is a wasteful number, since it uses less digits than its factorization.

212351011204544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106634 (or 106624 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 35.

Adding to 212351011204544 its reverse (445402110153212), we get a palindrome (657753121357756).

The spelling of 212351011204544 in words is "two hundred twelve trillion, three hundred fifty-one billion, eleven million, two hundred four thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 32 43 64 86 172 211 344 422 688 844 1376 1688 2752 3376 3557 6752 7114 9073 13504 14228 18146 28456 36292 56912 72584 102811 113824 145168 152951 205622 227648 290336 305902 411244 580672 611804 750527 822488 1223608 1501054 1644976 2447216 3002108 3289952 4420873 4894432 6004216 6579904 8841746 9788864 12008432 17683492 21693121 24016864 32272661 35366984 43386242 48033728 64545322 70733968 86772484 129090644 141467936 173544968 258181288 282935872 347089936 365698727 516362576 694179872 731397454 932804203 1032725152 1388359744 1462794908 1865608406 2065450304 2925589816 3731216812 5851179632 7462433624 11702359264 14924867248 15725045261 23404718528 29849734496 31450090522 59699468992 62900181044 77162431397 125800362088 154324862794 251600724176 308649725588 503201448352 617299451176 1006402896704 1234598902352 2469197804704 3317984550071 4938395609408 6635969100142 13271938200284 26543876400568 53087752801136 106175505602272 212351011204544