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234216089856 = 28327196771129
BaseRepresentation
bin1101101000100001011…
…1011110100100000000
3211101112220220010212200
43122020113132210000
512314133304333411
6255333011353200
722631043626010
oct3321027364400
9741486803780
10234216089856
119036a970a11
12394865b2800
13191180046a8
14b49c44dc40
15615c2a9e56
hex36885de900

234216089856 has 432 divisors, whose sum is σ = 814314883200. Its totient is φ = 63247122432.

The previous prime is 234216089843. The next prime is 234216089879. The reversal of 234216089856 is 658980612432.

234216089856 is a `hidden beast` number, since 2 + 3 + 4 + 21 + 608 + 9 + 8 + 5 + 6 = 666.

It is a super-2 number, since 2×2342160898562 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 207453900 + ... + 207455028.

Almost surely, 2234216089856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234216089856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407157441600).

234216089856 is an abundant number, since it is smaller than the sum of its proper divisors (580098793344).

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

234216089856 is a wasteful number, since it uses less digits than its factorization.

234216089856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1854 (or 1837 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 234216089856 in words is "two hundred thirty-four billion, two hundred sixteen million, eighty-nine thousand, eight hundred fifty-six".