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212339606544 = 2434132969481
BaseRepresentation
bin1100010111000001101…
…1010100010000010000
3202022002022102122110000
43011300123110100100
511434332414402134
6241314130410000
721224654606202
oct3056033242020
9668068378400
10212339606544
118206419923a
12351a0130900
131703c93b200
14a3c4c62772
1557cb928e99
hex31706d4410

212339606544 has 150 divisors (see below), whose sum is σ = 665484437706. Its totient is φ = 65335196160.

The previous prime is 212339606527. The next prime is 212339606551. The reversal of 212339606544 is 445606933212.

212339606544 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 39 + 606 + 5 + 4 + 4 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 26244000000 + 186095606544 = 162000^2 + 431388^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 212339606544.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 265717 + ... + 703764.

Almost surely, 2212339606544 is an apocalyptic number.

212339606544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

212339606544 is an abundant number, since it is smaller than the sum of its proper divisors (453144831162).

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

212339606544 is a wasteful number, since it uses less digits than its factorization.

212339606544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969527 (or 969499 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 212339606544 in words is "two hundred twelve billion, three hundred thirty-nine million, six hundred six thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 169 208 216 234 312 324 338 351 432 468 507 624 648 676 702 936 1014 1053 1296 1352 1404 1521 1872 2028 2106 2704 2808 3042 4056 4212 4563 5616 6084 8112 8424 9126 12168 13689 16848 18252 24336 27378 36504 54756 73008 109512 219024 969481 1938962 2908443 3877924 5816886 7755848 8725329 11633772 12603253 15511696 17450658 23267544 25206506 26175987 34901316 37809759 46535088 50413012 52351974 69802632 75619518 78527961 100826024 104703948 113429277 139605264 151239036 157055922 163842289 201652048 209407896 226858554 302478072 314111844 327684578 340287831 418815792 453717108 491526867 604956144 628223688 655369156 680575662 907434216 983053734 1020863493 1256447376 1310738312 1361151324 1474580601 1814868432 1966107468 2041726986 2621476624 2722302648 2949161202 3932214936 4083453972 4423741803 5444605296 5898322404 7864429872 8166907944 8847483606 11796644808 13271225409 16333815888 17694967212 23593289616 26542450818 35389934424 53084901636 70779868848 106169803272 212339606544