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210812525768 = 231319744323227
BaseRepresentation
bin1100010001010101100…
…1111101110011001000
3202011010212221220102202
43010111121331303020
511423221001311033
6240502420015332
721142062621515
oct3042531756310
9664125856382
10210812525768
11814501a1909
1234a34831548
1316b58456910
14a2bc11030c
15573c8308e8
hex311567dcc8

210812525768 has 64 divisors (see below), whose sum is σ = 428824186560. Its totient is φ = 96581511936.

The previous prime is 210812525621. The next prime is 210812525771. The reversal of 210812525768 is 867525218012.

210812525768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 9064571 + ... + 9087797.

It is an arithmetic number, because the mean of its divisors is an integer number (6700377915).

Almost surely, 2210812525768 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 210812525768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214412093280).

210812525768 is an abundant number, since it is smaller than the sum of its proper divisors (218011660792).

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

210812525768 is a wasteful number, since it uses less digits than its factorization.

210812525768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23886 (or 23882 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 47.

The spelling of 210812525768 in words is "two hundred ten billion, eight hundred twelve million, five hundred twenty-five thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 13 26 52 104 197 394 443 788 886 1576 1772 2561 3544 5122 5759 10244 11518 20488 23036 23227 46072 46454 87271 92908 174542 185816 301951 349084 603902 698168 1134523 1207804 2269046 2415608 4538092 4575719 9076184 9151438 10289561 18302876 20579122 36605752 41158244 59484347 82316488 118968694 133764293 237937388 267528586 475874776 535057172 1070114344 2027043517 4054087034 8108174068 16216348136 26351565721 52703131442 105406262884 210812525768