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216706003760 = 24526573101939
BaseRepresentation
bin1100100111010010101…
…1110011001100110000
3202201100121120121101102
43021310223303030300
512022303214110020
6243315305423532
721441114432221
oct3116453631460
9681317517342
10216706003760
11839a4987084
1235bba49aba8
13175874373bc
14a6bab11248
155984e26475
hex3274af3330

216706003760 has 40 divisors (see below), whose sum is σ = 503865362160. Its totient is φ = 86678289152.

The previous prime is 216706003733. The next prime is 216706003771. The reversal of 216706003760 is 67300607612.

216706003760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2167060037602 (a number of 23 digits) contains 22 as substring.

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, 2074871 + ... + 2176809.

It is an arithmetic number, because the mean of its divisors is an integer number (12596634054).

Almost surely, 2216706003760 is an apocalyptic number.

216706003760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216706003760 is an abundant number, since it is smaller than the sum of its proper divisors (287159358400).

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

216706003760 is a wasteful number, since it uses less digits than its factorization.

216706003760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128525 (or 128519 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 38.

The spelling of 216706003760 in words is "two hundred sixteen billion, seven hundred six million, three thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 26573 53146 101939 106292 132865 203878 212584 265730 407756 425168 509695 531460 815512 1019390 1062920 1631024 2038780 2125840 4077560 8155120 2708825047 5417650094 10835300188 13544125235 21670600376 27088250470 43341200752 54176500940 108353001880 216706003760