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136785395712 = 21537273389
BaseRepresentation
bin111111101100100001…
…0111000000000000000
3111002001210212001200010
41333121002320000000
54220114030130322
6142501025424520
712611445452100
oct1773102700000
9432053761603
10136785395712
1153012876389
122261519b140
13cb8b8abc94
146898721200
1538588db20c
hex1fd90b8000

136785395712 has 384 divisors, whose sum is σ = 431225542800. Its totient is φ = 38447087616.

The previous prime is 136785395653. The next prime is 136785395717. The reversal of 136785395712 is 217593587631.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136785395717) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 351633214 + ... + 351633602.

Almost surely, 2136785395712 is an apocalyptic number.

136785395712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136785395712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215612771400).

136785395712 is an abundant number, since it is smaller than the sum of its proper divisors (294440147088).

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

136785395712 is an frugal number, since it uses more digits than its factorization.

136785395712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 474 counting only the distinct ones).

The product of its digits is 9525600, while the sum is 57.

The spelling of 136785395712 in words is "one hundred thirty-six billion, seven hundred eighty-five million, three hundred ninety-five thousand, seven hundred twelve".