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136803105504 = 25321336539291
BaseRepresentation
bin111111101101000011…
…0011011101011100000
3111002010001011210221100
41333122012123223200
54220133043334004
6142502501154400
712612052132122
oct1773206335340
9432101153840
10136803105504
1153021871a7a
122261b0bba00
13cb9246cb50
14689ac11212
15385a238739
hex1fda19bae0

136803105504 has 72 divisors (see below), whose sum is σ = 418959522072. Its totient is φ = 42093262080.

The previous prime is 136803105497. The next prime is 136803105529. The reversal of 136803105504 is 405501308631.

136803105504 is a `hidden beast` number, since 13 + 6 + 80 + 3 + 10 + 550 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 18265902 + ... + 18273389.

It is an arithmetic number, because the mean of its divisors is an integer number (5818882251).

Almost surely, 2136803105504 is an apocalyptic number.

It is an amenable number.

136803105504 is an abundant number, since it is smaller than the sum of its proper divisors (282156416568).

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

136803105504 is a wasteful number, since it uses less digits than its factorization.

136803105504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36539320 (or 36539309 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 136803105504 in words is "one hundred thirty-six billion, eight hundred three million, one hundred five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 36539291 73078582 109617873 146157164 219235746 292314328 328853619 438471492 475010783 584628656 657707238 876942984 950021566 1169257312 1315414476 1425032349 1753885968 1900043132 2630828952 2850064698 3507771936 3800086264 4275097047 5261657904 5700129396 7600172528 8550194094 10523315808 11400258792 15200345056 17100388188 22800517584 34200776376 45601035168 68401552752 136803105504