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134181365652 = 223237100736761
BaseRepresentation
bin111110011110111010…
…1010010011110010100
3110211100022220121222100
41330331311102132110
54144300412200102
6141350404202100
712460065534525
oct1747565223624
9424308817870
10134181365652
11519a6979024
1222009099330
13c8652578a9
1466cc95084c
153754eb1a1c
hex1f3dd52794

134181365652 has 36 divisors (see below), whose sum is σ = 348347722996. Its totient is φ = 43518280320.

The previous prime is 134181365629. The next prime is 134181365663. The reversal of 134181365652 is 256563181431.

134181365652 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 81 + 3 + 6 + 565 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 90410867856 + 43770497796 = 300684^2 + 209214^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 134181365598 and 134181365607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50367049 + ... + 50369712.

Almost surely, 2134181365652 is an apocalyptic number.

134181365652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

134181365652 is an abundant number, since it is smaller than the sum of its proper divisors (214166357344).

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

134181365652 is a wasteful number, since it uses less digits than its factorization.

134181365652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100736808 (or 100736803 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The spelling of 134181365652 in words is "one hundred thirty-four billion, one hundred eighty-one million, three hundred sixty-five thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 100736761 201473522 302210283 402947044 604420566 906630849 1208841132 1813261698 3626523396 3727260157 7454520314 11181780471 14909040628 22363560942 33545341413 44727121884 67090682826 134181365652