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134736454656 = 2103214619841
BaseRepresentation
bin111110101111011101…
…0110010010000000000
3110212210000102001221100
41331132322302100000
54201420013022111
6141521433454400
712506615653026
oct1753672622000
9425700361840
10134736454656
1152161241671
1222142b71400
13c92325a51b
146742566716
153788aac756
hex1f5eeb2400

134736454656 has 66 divisors (see below), whose sum is σ = 389048615462. Its totient is φ = 44912148480.

The previous prime is 134736454613. The next prime is 134736454673. The reversal of 134736454656 is 656454637431.

134736454656 is a `hidden beast` number, since 1 + 3 + 47 + 3 + 6 + 4 + 546 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 98606048256 + 36130406400 = 314016^2 + 190080^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7300705 + ... + 7319136.

Almost surely, 2134736454656 is an apocalyptic number.

134736454656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

134736454656 is an abundant number, since it is smaller than the sum of its proper divisors (254312160806).

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

134736454656 is a wasteful number, since it uses less digits than its factorization.

134736454656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14619867 (or 14619846 counting only the distinct ones).

The product of its digits is 21772800, while the sum is 54.

The spelling of 134736454656 in words is "one hundred thirty-four billion, seven hundred thirty-six million, four hundred fifty-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 9216 14619841 29239682 43859523 58479364 87719046 116958728 131578569 175438092 233917456 263157138 350876184 467834912 526314276 701752368 935669824 1052628552 1403504736 1871339648 2105257104 2807009472 3742679296 4210514208 5614018944 7485358592 8421028416 11228037888 14970717184 16842056832 22456075776 33684113664 44912151552 67368227328 134736454656