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211189960528 = 24291123405299
BaseRepresentation
bin1100010010101111100…
…1110000111101010000
3202012010012011120120221
43010223321300331100
511430004112214103
6241004101442424
721154325021431
oct3045371607520
9665105146527
10211189960528
1181624255168
1234b1b110414
1316bb86c72b1
14a3162bd488
155760a381bd
hex312be70f50

211189960528 has 40 divisors (see below), whose sum is σ = 423668196000. Its totient is φ = 101862735744.

The previous prime is 211189960519. The next prime is 211189960529. The reversal of 211189960528 is 825069981112.

It is a happy number.

211189960528 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211189960529) by changing a digit.

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, 318423 + ... + 723721.

It is an arithmetic number, because the mean of its divisors is an integer number (10591704900).

Almost surely, 2211189960528 is an apocalyptic number.

It is an amenable number.

211189960528 is an abundant number, since it is smaller than the sum of its proper divisors (212478235472).

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

211189960528 is a wasteful number, since it uses less digits than its factorization.

211189960528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406459 (or 406453 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 52.

The spelling of 211189960528 in words is "two hundred eleven billion, one hundred eighty-nine million, nine hundred sixty thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 16 29 58 116 232 464 1123 2246 4492 8984 17968 32567 65134 130268 260536 405299 521072 810598 1621196 3242392 6484784 11753671 23507342 47014684 94029368 188058736 455150777 910301554 1820603108 3641206216 7282412432 13199372533 26398745066 52797490132 105594980264 211189960528