Search a number
-
+
212522571198848 = 2771131178511191
BaseRepresentation
bin110000010100100111000100…
…010111001111000110000000
31000212110221220101121120121002
4300110213010113033012000
5210323432211211330343
62031555304341551132
762523151301251151
oct6024470427170600
91025427811546532
10212522571198848
1161797352a98399
121ba0436b1154a8
139177a3c0a19a1
143a6a20c3b3928
1519882ee4508b8
hexc149c45cf180

212522571198848 has 64 divisors (see below), whose sum is σ = 432625444035840. Its totient is φ = 103964917056000.

The previous prime is 212522571198667. The next prime is 212522571198851. The reversal of 212522571198848 is 848891175225212.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88065068 + ... + 90446123.

It is an arithmetic number, because the mean of its divisors is an integer number (6759772563060).

Almost surely, 2212522571198848 is an apocalyptic number.

It is an amenable number.

212522571198848 is an abundant number, since it is smaller than the sum of its proper divisors (220102872836992).

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

212522571198848 is a wasteful number, since it uses less digits than its factorization.

212522571198848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178511407 (or 178511395 counting only the distinct ones).

The product of its digits is 51609600, while the sum is 65.

The spelling of 212522571198848 in words is "two hundred twelve trillion, five hundred twenty-two billion, five hundred seventy-one million, one hundred ninety-eight thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 71 128 131 142 262 284 524 568 1048 1136 2096 2272 4192 4544 8384 9088 9301 16768 18602 37204 74408 148816 297632 595264 1190528 178511191 357022382 714044764 1428089528 2856179056 5712358112 11424716224 12674294561 22849432448 23384966021 25348589122 46769932042 50697178244 93539864084 101394356488 187079728168 202788712976 374159456336 405577425952 748318912672 811154851904 1496637825344 1622309703808 1660332587491 2993275650688 3320665174982 6641330349964 13282660699928 26565321399856 53130642799712 106261285599424 212522571198848