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136770256896 = 215371315289
BaseRepresentation
bin111111101100000100…
…1001000000000000000
3111002000202100221010020
41333120021020000000
54220101141210041
6142455325133440
712611203000440
oct1773011100000
9432022327106
10136770256896
1153005276369
12226100ba280
13cb8870b3c0
146896700120
1538573ea866
hex1fd8248000

136770256896 has 256 divisors, whose sum is σ = 448909507200. Its totient is φ = 36068917248.

The previous prime is 136770256853. The next prime is 136770256897. The reversal of 136770256896 is 698652077631.

It is a tau number, because it is divible by the number of its divisors (256).

It is a super-2 number, since 2×1367702568962 (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 (136770256897) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8938020 + ... + 8953308.

Almost surely, 2136770256896 is an apocalyptic number.

136770256896 is a gapful number since it is divisible by the number (16) 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 136770256896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224454753600).

136770256896 is an abundant number, since it is smaller than the sum of its proper divisors (312139250304).

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

136770256896 is an equidigital number, since it uses as much as digits as its factorization.

136770256896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15342 (or 15314 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 60.

The spelling of 136770256896 in words is "one hundred thirty-six billion, seven hundred seventy million, two hundred fifty-six thousand, eight hundred ninety-six".