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133681608216 = 233213142822231
BaseRepresentation
bin111110010000000001…
…0110111011000011000
3110210001111112022122200
41330200002313120120
54142234442430331
6141225032450200
712441516631002
oct1744002673030
9423044468580
10133681608216
115176a867952
1221aa9849960
13c7b5859030
14668241d372
1537261955e6
hex1f200b7618

133681608216 has 48 divisors (see below), whose sum is σ = 389904693360. Its totient is φ = 41132802240.

The previous prime is 133681608209. The next prime is 133681608217. The reversal of 133681608216 is 612806186331.

133681608216 is a `hidden beast` number, since 1 + 3 + 36 + 8 + 1 + 608 + 2 + 1 + 6 = 666.

It is a super-2 number, since 2×1336816082162 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133681608217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71410180 + ... + 71412051.

It is an arithmetic number, because the mean of its divisors is an integer number (8123014445).

Almost surely, 2133681608216 is an apocalyptic number.

It is an amenable number.

133681608216 is an abundant number, since it is smaller than the sum of its proper divisors (256223085144).

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

133681608216 is a wasteful number, since it uses less digits than its factorization.

133681608216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142822256 (or 142822249 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 133681608216 in words is "one hundred thirty-three billion, six hundred eighty-one million, six hundred eight thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 142822231 285644462 428466693 571288924 856933386 1142577848 1285400079 1713866772 1856689003 2570800158 3427733544 3713378006 5141600316 5570067009 7426756012 10283200632 11140134018 14853512024 16710201027 22280268036 33420402054 44560536072 66840804108 133681608216