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229064192959104 = 27321723350199557
BaseRepresentation
bin110100000101010100101001…
…110110100010001010000000
31010001001022201110021120220100
4310011110221312202022000
5220010441431344142404
62131102345412042400
766151225145300166
oct6405245166421200
91101038643246810
10229064192959104
1166a94640263828
1221836212903400
139aa7878771769
14407caa223d236
151b73742ee2d39
hexd05529da2280

229064192959104 has 192 divisors, whose sum is σ = 700925384451240. Its totient is φ = 71554848718848.

The previous prime is 229064192959099. The next prime is 229064192959127. The reversal of 229064192959104 is 401959291460922.

229064192959104 is a `hidden beast` number, since 2 + 2 + 9 + 0 + 6 + 4 + 19 + 29 + 591 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 191557779393600 + 37506413565504 = 13840440^2 + 6124248^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20536707 + ... + 29662850.

Almost surely, 2229064192959104 is an apocalyptic number.

229064192959104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

229064192959104 is an abundant number, since it is smaller than the sum of its proper divisors (471861191492136).

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

229064192959104 is a wasteful number, since it uses less digits than its factorization.

229064192959104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50199827 (or 50199812 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 229064192959104 in words is "two hundred twenty-nine trillion, sixty-four billion, one hundred ninety-two million, nine hundred fifty-nine thousand, one hundred four".